6. Let g(x) be a continuous function and let g(")(x) be the n-th derivative of g(x). Find an example of g(x) such that |g(")(x)| < 1 for all n and for all x E R.
6. Let g(x) be a continuous function and let g(")(x) be the n-th derivative of g(x). Find an example of g(x) such that |g(")(x)| < 1 for all n and for all x E R.
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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Transcribed Image Text:6. Let g(x) be a continuous function and let g(n) (x) be the n-th derivative of g(x). Find an example
of g(x) such that |g(")(x)| < 1 for all n and for all x E R.
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