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Chapter 1: Q. 12 (page 148)

Describe in terms of large and small numbers why it makes intuitive sense that limits of the form (a)0鈭�(b)b01must equal 0.

Short Answer

Expert verified

(a)0鈭�=0and the number is small.

(b)01=0and the number is small.

Step by step solution

01

Step 1. Given Information

The given limits are0鈭�and01

02

Part (a) Step 1. Sense of limits 0∞

By using am=a脳a脳a...脳a

0鈭�=0脳0脳0脳...uptoinfinity=0

This number is small.

03

Part (b) Step 2. Sense of limits 01

We have 01=0

This is also small.

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