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Science
:
Math Exam Resources/Courses/MATH101/April 2018/Question 09 (i)/Statement
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From UBC Wiki
<
Science:Math Exam Resources
|
Courses/MATH101
|
April 2018
|
Question 09 (i)
Calculate the following limit:
lim
x
→
0
2
−
4
x
2
−
2
e
−
2
x
2
1
−
cos
(
x
2
)
.
{\displaystyle \displaystyle \lim _{x\to 0}{\dfrac {2-4x^{2}-2e^{-2x^{2}}}{1-\cos(x^{2})}}\,.}
Hint:
Maclaurin series will help you here. L’Hôpital’s rule will not.