solve ...............it
Attachments:
Answers
Answered by
1
Lim x->0 tan^-1 x /x
If we put x = 0 we get 0/0 which is an indeterminate form.
Therefore we can apply the L Hospitals rule here
Let's differentiate the numerator and the denominator separately.
Therefore,
Lim x->0 tan^-1 x / x
= Lim x->0 (1/1+x^2) / 1
= 1/1 = 1
Hope this helps you.
If we put x = 0 we get 0/0 which is an indeterminate form.
Therefore we can apply the L Hospitals rule here
Let's differentiate the numerator and the denominator separately.
Therefore,
Lim x->0 tan^-1 x / x
= Lim x->0 (1/1+x^2) / 1
= 1/1 = 1
Hope this helps you.
Similar questions