Check out this interesting comic riddle from Spikedmath.com! The sky is the limit when it comes to Math!
Do give it a try, before scrolling down to view the answer.
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Answer: sky
First, we use L’Hopital’s Rule since the initial limit is a 0/0 indeterminate form.
(We have also used the product rule and chain rule in this step)
Substituting x=k into the expression, we get which is equivalent to
.
That’s a nice problem. When I tried to solve it, I was surprised that my final answer’s is “sky”. I thought that I have done something wrong in my calculations, but I remembered you wrote “sky is the limit” 🙂
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Congrats for solving it!
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