# 1limits & Continuityap Calculus

## 2011-2012

Describe or draw a function, f(x), with the following characteristics:

Now 0/0 is a difficulty! We don't really know the value of 0/0 (it is 'indeterminate'), so we need another way of answering this. So instead of trying to work it out for x=1 let's try approaching it closer and closer.

Numerical Approach to Limits Example 1: Let f (x) = 2 x + 2 and compute f (x) as x takes values closer to 1. We first consider values of x approaching 1 from the left (x 1). We now consider x approaching 1 from the right (x 1). A handy tool for solving limit problems. Wolfram Alpha computes both one-dimensional and multivariate limits with great ease. Determine the limiting values of various functions, and explore the visualizations of functions at their limit points with Wolfram Alpha.

• f(x) has domain (–∞,8)
• f(x) has range (–∞,9)
• f(4) = 0; f(5) = 0; f(7) = 0
• The limit, as x approaches –∞, of f(x) equals 9
• The limit, as x approaches 8 from the left, of f(x) equals –∞
• f(–1) = f(–3); f(–1) > f(–2)
• f(1) = 1
• The limit, as x approaches 1, of f(x) is 4

### One Solution (others possible but similar):

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Learn about the service limits in SharePoint for Microsoft 365.

## Limits by plan

FeatureMicrosoft 365 Business Basic, Business Standard, or Business PremiumMicrosoft 365 E3 or E5, Office 365 E1, E3, or E5, or SharePoint Plan 1 or 2Microsoft 365 F1 or F3, Office 365 F3
Total storage per organization1, 2, 6
1 TB plus 10 GB per license purchased3
1 TB plus 10 GB per license purchased3
1 TB3
Max storage per site (site collection)4
25 TB
25 TB
25 TB5
Sites (site collections) per organization
2 million6
2 million6
2 million
Number of users
Up to 300
1- 500,0007
1- 500,0007

1Learn how to find the total and available storage for your organization. You can purchase an unlimited amount of additional SharePoint storage. See Change storage space for your subscription.
2 We recommend monitoring the Recycle Bin and emptying it regularly. The storage space it uses is part of the organization's total storage limit.
3 If you have a Microsoft 365 subscription and an Office 365 Extra File Storage add-on, the storage amounts are added.
4 This is the storage limit for a single site (previously called 'site collection'), not the amount of storage provided for each site. This limit applies to all types of sites, including Office 365 group-connected team sites and OneDrive. SharePoint admins can manually set lower storage limits.
5 Firstline Workers can't administer SharePoint sites.
6 Not including the OneDrive created for each licensed user.
7 If you have more than 500,000 users, contact a Microsoft representative.

## Service limits for all plans

### Items in lists and libraries

A list can have up to 30 million items and a library can have up to 30 million files and folders. When a list, library, or folder contains more than 100,000 items, you can't break permissions inheritance on the list, library, or folder. Nor can you re-inherit permissions on it. However, you can still break inheritance on the individual items within that list, library, or folder, up to the maximum number of unique permissions in the list or library (see the next section). To learn more about other restrictions for viewing large lists, see Manage large lists and libraries in Office 365.

## Ap Calculus Limits And Continuity Quiz #1-a

For large lists, design to have as few unique permissions as possible and remain below 5,000 in total.

### File size and file path length

100 GB. To learn more about restrictions and limits when using the new OneDrive sync app (OneDrive.exe), see Invalid file names and file types.

## 1 Limits & Continuityap Calculus Calculator

### Moving and copying across sites

Copying/Moving multiple files in a single operation has three requirements:

• No more than 100 GB total file size
• No more than 30,000 files
• Each file must be less than 15 GB

### Sync

For optimum performance, we recommend storing no more than 300,000 files in a single OneDrive or team site library. Although SharePoint Online can store 30 million documents per library, for optimum performance we recommend syncing no more than 300,000 files across all document libraries. Additionally, the same performance issues can occur if you have 300,000 items or more across all libraries you are syncing, even if you are not syncing all items in those libraries. If you use the previous OneDrive for Business sync client (Groove.exe), the sync limit per library is 20,000 items (including 5,000 items per team site).

## 1 Limits & Continuityap Calculus Ab

### Versions

50,000 major versions and 511 minor versions.

## 1 Limits & Continuityap Calculus 2nd Edition

### SharePoint groups

A user can belong to 5,000 groups per site (site collection), and each group can have up to 5,000 users. You can have up to 10,000 groups per site (site collection).

Note

For Azure AD group limits, see Azure AD service limits and restrictions as such limits can impact public and private group sites membership management.

200,000 terms in Term Store, 1,000 global term sets, 1,000 groups.

1000 GB per site (metadata rarely reaches this size).

## 1 Limits & Continuityap Calculus 14th Edition

### Subsites

2,000 per site (site collection). We recommend creating sites and organizing them into hubs instead of creating subsites. If you do use subsites, we recommend limiting their number (especially on heavily trafficked sites).

Note

Your organization is limited to 2,000 hub sites. You might not need a hub site for every function, and it's important to do some planning before you create hubs. For more information, please visit Planning your SharePoint hub sites.

### SharePoint hosted applications

20,000 instances per organization.

### Users

2 million per site collection.

Note

There is no distinct limit to the number of guests you can invite to SharePoint sites. For more information about external sharing, see External sharing overview.