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This limit represents the derivative of some function f at some number a. state this f and a. lim h->0  [(4th root of)(16+h)-2]/h    a=? f=?

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beckden | High School Teacher | (Level 1) Educator

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`(root(4)(16+h)-2)/h`

function `f(x)=root(4)(x)`

evaluate at a=16

`f(16+h)=root(4)(16+h)`

`f(16)=root(4)(16)=2`

`(f(16+h)-f(16))/h=(root(4)(16+h)-2)/h`

So the answer is `f(x)=root(4)(x)` and `a=16`