The limit represents

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

The limit lim⁡h→0(5+h)3−125h\displaystyle \lim_{h\to0}\frac{(5+h)^3-125}{h} represents (a) the slope of the normal to y=x3y=x^3 at x=5x=5 (b) the slope of the tangent to y=x3y=x^3 at x=5x=5 (c) the average rate of change of y=x3y=x^3 from x=5x=5 to x=5+hx=5+h (d) the slope of the tangent to y=x3y=x^3 at x=6x=6

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