At the point on the graph of , ( )

MATHEMATICS · Subjective · ISC · Mathematics · Calculus · Calculus

Problem

At the point

P(a,a^n)

on the graph of

y=x^n

, (

n\in\mathbb{N}

), in the first quadrant, a normal is drawn. The normal intersects the

y

-axis at the point

(0,b)

. If

\lim_{a\rightarrow 0} b=\frac{1}{2}

, then

n

equals.