What's the limit of (8(1/2+h)^8-8(1/2)^8)/h as h approaches to 0? Answer: 1/2 12/21/2013 | Sun from Los Angeles, CA | 1 Answer | 0 Votes Mark favorite Subscribe Comment
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. 12/21/2013 | Richard P. Comment Comments Thank you! I clicked on this answers my question button but nothing comes up. 12/21/2013 | Sun from Los Angeles, CA Comment
Thank you! I clicked on this answers my question button but nothing comes up. 12/21/2013 | Sun from Los Angeles, CA
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