Consider the function f(x) = ((x - 1)^3)/((x + 1)^3 (x - 4)^3). Find the following limits. A)...


Consider the function {eq}f(x) = \frac{(x - 1)^3}{(x + 1)^3 (x - 4)^3} {/eq}. Find the following limits.

A) {eq}\lim_{x\rightarrow -1^+} f(x) {/eq}

B) {eq}\lim_{x\rightarrow -1^-} f(x) {/eq}

C) {eq}\lim_{x\rightarrow 1^+} f(x) {/eq}

D) {eq}\lim_{x\rightarrow 1^-} f(x) {/eq}

E) {eq}\lim_{x\rightarrow 4^+} f(x) {/eq}

F) {eq}\lim_{x\rightarrow 4^-} f(x) {/eq}


Limit is a crucial part of integral as well as differential calculus. Limits are used to evaluate the sum of sequence and series, differential equation, and the average value of the function. Limits are also used to define where the function is continuous and differentiable.

Answer and Explanation: 1

Become a member to unlock this answer!

View this answer


  • The function is, {eq}f\left( x \right) = \frac{{{{\left( {x - 1} \right)}^3}}}{{{{\left( {x + 1} \right)}^3}{{\left( {x - 4}...

See full answer below.

Learn more about this topic:

How to Determine the Limits of Functions


Chapter 6 / Lesson 4

Develop an intuition for the limit of a function. Learn the properties of the limit of a function. Apply the rules to compute the limits of functions through examples.

Related to this Question

Explore our homework questions and answers library