2. lim COs a (You are NOT allowed to use L'Hospital Rule unless you prove it.) Hint: justify and use lim f(x) = 2z 10 ; 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. t→0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

How do you solve 2?

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.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,