1L'HOPITAL rule : Applicable to all limit problems wherein both numerator and denominator becomes either '0' or '∞' like 0/0 or ∞/∞ after substituting limiting value.
As per this method, we need to differentiate both numerator and denominator and then substitute limiting value to et an answer.
Ex: LIM x>0 sin x/x, on substituting 0 to variable 'x' to both numerator and denominator we get indeterminate form 0/0 ( sin 0 = 0).
Now differentiating both numerator & denominator wrt 'X' we get LIM x>0 cos x/1 (derivative of sin x=cos x and derivative of x = 1) now by substituting 0 to variable 'x' we get cos 0/1= 1/1 = 1( as cos 0=1) and that is the answer using L'HOPITAL rule.
