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A normal is drawn at point P(a ,a^n) on ...

A normal is drawn at point `P(a ,a^n)` on the curve `=x^n` in the first quadrant. The normal intersects the y-axis at the point (0, b). If `("lim")_(avec0)b=1/2` , then `' n '` equals `1/2` (b) `3/2` (c) 2 (d) 4

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