Find the limit. Limit as y approaches 1 of (1/y - 1/1)/(y - 1).


Find the limit.

{eq}\lim_{y\rightarrow 1} \frac{\frac{1}{y} \, - \, \frac{1}{1}}{y - 1} {/eq}

The Limit in Calculus:

If the limit of a function {eq}f(x) {/eq}, as {eq}x {/eq} approaches {eq}a {/eq} is {eq}M {/eq}, we can write it as: {eq}\displaystyle\lim_{x\rightarrow \, a} f(x) =M {/eq}.

To solve this problem, we'll simplify the given expression and plug in the value of {eq}x. {/eq}

Answer and Explanation:

We are given:

{eq}\lim_{y\rightarrow 1} \dfrac{\frac{1}{y} \, - \, \frac{1}{1}}{y - 1} {/eq}

{eq}= \lim_{y\rightarrow 1} \dfrac{\frac{1-y}{y}}{y -...

See full answer below.

Become a member to unlock this answer! Create your account

View this answer

Learn more about this topic:

What is a Math Concept?

from PSAT Prep: Tutoring Solution

Chapter 10 / Lesson 13

Related to this Question

Explore our homework questions and answers library