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Chapter 7: Q. 7 (page 655)

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

Basic Limit Rules for Convergent Sequences: If akandbkareconvergentsequenceswithak鈫�Landbk鈫�Mask鈫�鈭�and if c is any constant, then

If M=0 thenakbk鈫�

Short Answer

Expert verified

The required answer isakbk鈫�LM

Step by step solution

01

Step 1. Given Information  

The given data is if akandbkareconvergentsequenceswithak鈫�Landbk鈫�Mask鈫�鈭�

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 thenakbk鈫�LM

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