Problem 2. Define a function h(x) on (-∞, +∞) by the following rule, sin (1/x), x 0. x = 0 h(x) = { 0, Compute the limit as x approaches 0 of k(x) = xh(x). Explain why it is invalid to simply compute the limit as k(0) = 0.h(0)=0.0=0?
Problem 2. Define a function h(x) on (-∞, +∞) by the following rule, sin (1/x), x 0. x = 0 h(x) = { 0, Compute the limit as x approaches 0 of k(x) = xh(x). Explain why it is invalid to simply compute the limit as k(0) = 0.h(0)=0.0=0?
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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
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