If the normal to at is

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

If the normal to y=f(x)y=f(x) at (0,0)(0,0) is y−x=0y-x=0, then lim⁡x→0x2f(x2)−20f(9x2)+2f(99x2)\lim_{x\to0}\frac{x^2}{f(x^2)-20f(9x^2)+2f(99x^2)} is (1) 119\frac1{19} (2) −119-\frac1{19} (3) 12\frac12 (4) Does not exist.

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