What's the limit of (8(1/2+h)^8-8(1/2)^8)/h as h approaches to 0?

Answer: 1/2

What's the limit of (8(1/2+h)^8-8(1/2)^8)/h as h approaches to 0?

Answer: 1/2

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Alexandria, VA

Yes the limit is 1/2. The limit is the derivative of the function f(x) = 8 x^{8} evaluated at x = 1/2

The derivative of this function is 64 x^{7} . Since 64 = 2^{6}, the limit is 2^{6} (1/2)^{7} = 1/2.

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