Solve the limit limx→0

Mudeebe Edison

2019 9 18

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Solve the limit limx→0 (exp(x^3)-1)/(1−cos(x−sin(x))^0.5)

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Mudeebe Edison 2019-9-18

Solve the expression as (x---> 0)limx→0 (exp(x^3)-1)/(1−cos(x−sin(x))^0.5)

John D'Errico 2019-9-18

That is not a question, just your need. Why not try something? James gave you a couple of good ideas.

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回答（1 个）

James Tursa 2019-9-18

编辑：James Tursa 2019-9-18

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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.