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Hard Problem: The expression ex can be written as ex = n=0 xn n! Where n! = n(n − 1)(n − 2) ... (2)(1). Show that d ex = ex dx Hint: Write out the first few terms of the summation. Recall that 0!=1.

Hard Problem: The expression ex can be written as ex = n=0 xn n! Where n! = n(n − 1)(n − 2) ... (2)(1). Show that d ex = ex dx Hint: Write out the first few terms of the summation. Recall that 0!=1.

ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Summation of e^x and proof that the derivative of e^x=e^x

Hard Problem: The expression ex can be written as ex = n=0 xn n! Where n! = n(n − 1)(n − 2) ... (2)(1). Show that d ex = ex dx Hint: Write out the first few terms of the summation. Recall that 0!=1.
Transcribed Image Text:Hard Problem: The expression ex can be written as ex = n=0 xn n! Where n! = n(n − 1)(n − 2) ... (2)(1). Show that d ex = ex dx Hint: Write out the first few terms of the summation. Recall that 0!=1.
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