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Chapter 14: Q. 32 (page 876)

Graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�1f(x),f(x)=lnx

Short Answer

Expert verified

The limit is0.

Step by step solution

01

Step 1. Given Information  

We are given a functionf(x)=lnx and we need to graph the function and findlimx鈫�1f(x).

02

Step 2. Plotting the graph 

So, the graph of the function f(x)=lnxis

03

Step 3. Finding the limit   

To find the value of limx鈫�0f(x)we need to find the value of the function at x=0.

f(x)=lnx鈬�f(1)=ln1鈬�f(1)=0鈭�limx鈫�1f(x)=0

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Most popular questions from this chapter

In Problems 53-56, use the properties of limits and the facts that

limx鈫�0sinxx=1limx鈫�0cosx-1x=0limx鈫�0sinx=0limx鈫�0cosx=1

limx鈫�0sin2x+sinx(cosx-1)x2

In Problems 7鈥� 42, find each limit algebraically.

limx鈫�23x+4x2+x.

True or False The exponential function f(x)=ex is increasing on the interval (-鈭�,鈭�). (p. 280)

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�0f(x),f(x)=x13xif,x<0if,x=0if,x>0

In Problems 13鈥�32, use the accompanying graph ofy=f(x).

Findf(-8)andf(-4).
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