Purchase Solution

Functions: Simplifying an expression and limits

Not what you're looking for?

Ask Custom Question

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 ?

Purchase this Solution

Solution Summary

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

Purchase this Solution

Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.