Asked by eddie
find the limit as x approaches 0 of the function: (e^x.sinx)/x
without using hopitals rule
without using hopitals rule
Answers
Answered by
Damon
e^x sin x / x
e^x --> 1+x + x^2/2! ....
sin x --> x -x^3/3! + x^5/5! ....
product--> x + x^2....
product/x --> 1 + x ...
---> 1 as x --> 0
e^x --> 1+x + x^2/2! ....
sin x --> x -x^3/3! + x^5/5! ....
product--> x + x^2....
product/x --> 1 + x ...
---> 1 as x --> 0
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