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

Basic Limit Rules for Convergent Sequences: If akandbkareconvergentsequenceswithakโ†’Landbkโ†’Maskโ†’โˆžand if c is any constant, then

If M=0 thenakbkโ†’

Short Answer

Expert verified

The required answer isakbkโ†’LM

Step by step solution

01

Step 1. Given Information  

The given data is if akandbkareconvergentsequenceswithakโ†’Landbkโ†’Maskโ†’โˆž

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, if M=0 thenakbkโ†’LM

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