In Exercises 37-54, find the limit (if it exists). limx →-1^+ (1)/(x+1)

Name: Problem 37, Chapter 1: Calculus of a Single Variable
Uploaded: 2020-11-03T03:42:12-08:00
Duration: 3 min 30 s
Channel: Samuel Goyette
Description: In Exercises 37-54, find the limit (if it exists). limx →-1^+ (1)/(x+1)

step 1 Okay, in this problem we want to figure, compute the limit as x get closer to minus 1 on the rig

In Exercises 37-54, find the limit (if it exists). limx...

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Key Concepts

One-Sided Limit

A one-sided limit considers the behavior of a function as the variable approaches a specific value from one side only, either from the right (values greater than the point) or from the left (values less than the point). This concept is used when the function may behave differently depending on the direction from which the input approaches a particular point.

Vertical Asymptote

A vertical asymptote occurs at a value of the independent variable where the function increases or decreases without bound, typically because the function’s denominator approaches zero while the numerator approaches a non-zero value. This concept helps in understanding the behavior of functions near points of discontinuity.

Infinite Limit

An infinite limit describes a situation where a function does not approach a finite number as the input approaches a certain value, but instead increases or decreases indefinitely. This is a useful concept when analyzing limits that yield unbounded behavior near discontinuities.

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