Question

The answer to question is 1/2. Where i have done the mistake in above solution?

Answer 1

Split the denominator as x² X x⁴

Lim sinx²/x² goes to 1   ( as lim tends to 0)

1- cos x² = 2 sin² x²

Lim 2 sin² x²/x⁴ = 2    (as lim tends to 0)

So your answer is 1 X 2 = 2

Answer 2

hey mate....
You have not understand few basic things, i.e., indeterminate form there are 7 exist such form, and where this form exist there we use limits to now about a equation neghibour properties...
So here you can use this limit by putting, x tends to infinity and h tends. to 0 and put h instead of x then solve it...