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Compute the following limit: 1-cos 2z 1. lim I→0 z sin 2x· Hint: 1 – cost = 2 sin? t.

Compute the following limit: 1-cos 2z 1. lim I→0 z sin 2x· Hint: 1 – cost = 2 sin? t.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Compute the following limit: 1. lim 1-cos 2x I0 z sin 27 Hint: 1 – cost = 2 sin? t. 2. lim Cos x (You are NOT allowed to use L'Hospital Rule unless you prove it.) lim In f(x) Hint: justify and use lim f(x) = ez s0 '; after taking the logarithm, you may want to rearrange the terms to use the limit lim In(1+t)/t =1 and the Algebraic Limit Theorem.
Transcribed Image Text:Compute the following limit: 1. lim 1-cos 2x I0 z sin 27 Hint: 1 – cost = 2 sin? t. 2. lim Cos x (You are NOT allowed to use L'Hospital Rule unless you prove it.) lim In f(x) Hint: justify and use lim f(x) = ez s0 '; after taking the logarithm, you may want to rearrange the terms to use the limit lim In(1+t)/t =1 and the Algebraic Limit Theorem.
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