4) A vibrating string, like on a guitar, often takes the form of e*sin(x). a) Graph this function to try to decide the value of lim e-*sin(x) We can use "The Squecze Theorem" to prove your result. -1< sin(x) < 1, so -e* se-* sin(x) se* b) Let's find the limits of the two squeezing functions. lim -e-* = lim e 00-X c) Are they the same? If they are, then they tell you the limit of the middle function lim e¯*sin(x).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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4) A vibrating string, like on a guitar, often takes the form of e*sin(x).
a) Graph this function to try to decide the value of lim e-*sin(x)
We can use "The Squeeze Theorem" to prove your result. –1< sin(x) < 1, so
-e-* se-* sin(x) se*
b) Let's find the limits of the two squeezing functions.
lim -e-X =
lim eX =
X00
c) Are they the same? If they are, then they tell you the limit of the middle function lim e¯*sin(x).
Let's turn our attention to finding the derivative at a point.
The definition is f'(a) = lim (a+h)-/(@)
Transcribed Image Text:4) A vibrating string, like on a guitar, often takes the form of e*sin(x). a) Graph this function to try to decide the value of lim e-*sin(x) We can use "The Squeeze Theorem" to prove your result. –1< sin(x) < 1, so -e-* se-* sin(x) se* b) Let's find the limits of the two squeezing functions. lim -e-X = lim eX = X00 c) Are they the same? If they are, then they tell you the limit of the middle function lim e¯*sin(x). Let's turn our attention to finding the derivative at a point. The definition is f'(a) = lim (a+h)-/(@)
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