limit x tends to 0 e^(-x 2 /2) – cosx = ? x 3 sinx

limit x tends to 0 
e^(-x2/2) – cosx     =  ?


2 Answers

1698 Points
9 years ago
answer is  1/12
best method for these type of questions is series expansion
when we use series of ex , sinx , cosx , value of limit will be coefficient of x4 , as x is tending to 0
and all other powers will become 0
so answer is 1/12
approve if useful
2061 Points
9 years ago
you can solve the given question by using lhospital
very useful and time saving rather series expansion
0/0 form is obtained diffrentiate until you are out of the form
finally put x=0
the answer will be 1/12
approve if useful

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