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).
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).
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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