Calculation: Consider, lim (x sin L 2x х>0 1,that is, Considering the transformation t = x cot 0, therefore, lim sin L = t0 sin = lim 2 t0 sin lim 0 2 Hence, lim (x sin 0.5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 25E
icon
Related questions
Question

can you explain please,(without skipping steps) how this equation is possible? what kind of trick was used here to solve for limit at infinity? thank you!

Calculation:
Consider,
lim (x sin
L
2x
х>0
1,that is,
Considering the transformation t =
x cot
0, therefore,
lim sin
L
=
t0
sin
= lim
2
t0
sin
lim
0
2
Hence, lim (x sin
0.5
Transcribed Image Text:Calculation: Consider, lim (x sin L 2x х>0 1,that is, Considering the transformation t = x cot 0, therefore, lim sin L = t0 sin = lim 2 t0 sin lim 0 2 Hence, lim (x sin 0.5
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Knowledge Booster
Limits and Continuity
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage