Have Fun with Limits
x → 0 lim ( cos ( x ) − e x 2 ) sin ( x 2 ) 2 x 2 + 1 − 1 + x 2 = ?
Give your answer to 3 significant figures.
The answer is -0.0833.
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4 solutions
Maclaurin's Series makes limits easier!
Awsome bro did it same way.
Is this handwritten ??
Here is another solution that uses limit laws and L'Hospital's rule.
Moderator note:
How did you know that the "right" thing to consider was cos x − e x 2 x 2 , as opposed to say cos x − e x 2 x 3 ?
becauseof the power of e^x^2 . this step is quite elementary and useful if you are tryin to solve limit quickly
Good that we have another two solutions! This one is without expansion nor L'H : ) .
P.S. It was a problem from my notebook -- Ignore the Chinese words.
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@Ciara Sean "Good handwriting dear!" -- Thank you!; "What you do?" -- I do maths dear :P
Oh common that's tedious...