Question

The value of
lim e^xcosx-1-x/sin(x^2) where
x----->0 is equal to..

Answer 1

My ans is 0..

Answer 2

@hartnn

Answer 3

And 1/2 also...how is it possible??

Answer 4

I did it by two methods resulting in two diff ans ..

Answer 5

First of all i multiplied e^xcosx-1 by xcosx and divided it by same..
Then i got xcosx-x/x^2
Solving this limit i got 0..

Answer 6

you have used lim x->0 (e^x-1)/x =1 in the numerator...but is that legal step ?

lim (ab+c)/d does not equal lim [(lim a)b+c]/d

Answer 7

Can't we write like this
Lim (e^xcosx -1 -x )
= lim (e^xcosx-1)- limx