Let an n 1 Find a number M such that (a) Jan 1 0 001 for n M (b) lan 1 0 00001 for n M Then use the limit definition to prove that lim an 1 n ...

a We have an 1 Therefore lan 1 0001 provided n n 1 n1 1 1 n 1 0001 that is n 99 ...

Let an = n + 1. Find a number M such that: (a) Jan 1| 0.001

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Let an = n + 1. Find a number M such that:

(a) lan 1 0.001 for n M. (b) Jan 1| 0.00001 for n M. Then use the limit definition to prove that liman = 1.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Let an = n + 1. Find a number M such that: (a) Jan 1| 0.001

Question:

(a) Jan 1| ≤ 0.001 for n ≥ M. (b) lan 1 ≤ 0.00001 for n ≥ M. - Then use the limit definition to prove that lim an = 1. n-∞

Step by Step Answer:

a We have an 1 Therefore lan 1 0001 provided n n 1 n1 1 1 n 1 0001 that is n 99...View the full answer

Calculus

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