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Grade: 12

                        

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

5 years ago

Answers : (2)

ng29
1698 Points
							
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
5 years ago
grenade
2061 Points
							
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
5 years ago
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