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Q. 33

Found in: Page 120


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

For each limit in Exercises 33–38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.

limx-1 6.

The limit exists and it is equal to 6.

See the step by step solution

Step by Step Solution

Step 1. Given Information.

Given:limx-1 6.

Step 2. Theorem 1.16 

Constant, identity, and linear functions are continuous everywhere. In terms of limits, for every k, c, m, and b in R we havelimxc k = k , limxc x = c and limxc (mx+b) = (mc+b).

Step 3. Finding limit of given function.

Using the above theorem's 1st case we get,c=-1 and k=6.Putting these values we get,limx-1 6 = 6.

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