# Functions: Simplifying an expression and limits

Please see the attached file for the fully formatted problems.

Let f(x) = sqrt of x, and show that in this case (f(x+h)-f(x))(f(x+h)+f(x))=h.

Use this result to give a simplified expression for f(x+h)-f(x)/h.

When f(x) = sqrt x what is lim h-->0 f(x+h)-f(x)/h ?

https://brainmass.com/math/basic-algebra/functions-simplifying-expression-limits-5311

#### Solution Summary

An expression is simplified and a limit is found. The solution is detailed and well presented.

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