Solve the limit limx→0

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Mudeebe Edison
Mudeebe Edison on 18 Sep 2019
Commented: John D'Errico on 18 Sep 2019
Solve the limit limx→0 (exp(x^3)-1)/(1−cos(x−sin(x))^0.5)
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Mudeebe Edison
Mudeebe Edison on 18 Sep 2019
Solve the expression as (x---> 0)limx→0 (exp(x^3)-1)/(1−cos(x−sin(x))^0.5)
John D'Errico
John D'Errico on 18 Sep 2019
That is not a question, just your need. Why not try something? James gave you a couple of good ideas.

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Answers (1)

James Tursa
James Tursa on 18 Sep 2019
Edited: James Tursa on 18 Sep 2019
Hint: If you are just looking to get an answer, consider looking at the Taylor Series of each individual term and then ask yourself the question of what happens when x gets really small (i.e., discard every term except the constant and the first term involving x). You might also look into L'Hopital's Rule.

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