For real number p, let f and g be defined by f(x) =e¯*x³ and g(x) = 1/xP, respectively, on [1,0). Show that lim (x) x+* g(x) (a) = 0 for all p E R. (b) Explain why the integral ex* dx is convergent.
For real number p, let f and g be defined by f(x) =e¯*x³ and g(x) = 1/xP, respectively, on [1,0). Show that lim (x) x+* g(x) (a) = 0 for all p E R. (b) Explain why the integral ex* dx is convergent.
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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question 1)b)
Transcribed Image Text:For real number p, let f and g be defined by f(x) =e¯*x³ and g(x) = 1/xP, respectively,
on [1,0).
Show that lim (x)
x+* g(x)
(a)
= 0 for all p E R.
(b)
Explain why the integral ex* dx is convergent.
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