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Fill in the blanks to complete each of the following theorem statements.

Basic Limit Rules for Convergent Sequences: If akandbkareconvergentsequenceswithakLandbkMask and if c is any constant, then

ak+bk

Short Answer

Expert verified

The required answer isak+bkL+M

Step by step solution

01

Step 1. Given Information

The given data is ifakandbkareconvergentsequenceswithakLandbkMask

02

Step 2. Explanation 

As sequences are also coined as functions, So, the properties of limits that applied for functions can also be applied to sequences.

Thus,ak+bkL+M

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