Let f and g be real functions. Show directly from the definitions that if f is everywhere continuous and limx→1+ g(x) = L, then limx→1+ f(g(x)) = f(L).
Let f and g be real functions. Show directly from the definitions that if f is everywhere continuous and limx→1+ g(x) = L, then limx→1+ f(g(x)) = f(L).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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Let f and g be real functions. Show directly from the definitions
that if f is everywhere continuous and limx→1+ g(x) = L, then limx→1+ f(g(x)) = f(L).
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