Monday
September 1, 2014

Homework Help: Calculus

Posted by Joshua on Tuesday, April 28, 2009 at 11:57pm.

1. Use the Taylor series to calculate the limit.

Problem: limit as x approaches 0 is equal to (1-cos(x))/(1+x-e^x).

I did the problem out but I need help in seeing if its correct.

limit as x approaches 0 is equal to (1-cos(x))/(1+x-e^x)= (1-(1-x^2/2+x^4/4!-...))/(1+x-(1+x+x^2/2+x^3/3!+x^4/4!+...)=(x^2-x^4/4!+...)/(-x^2/2-x^3/3!-x^4/4!-...)=-11/17

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