Question: For f ( x ) = x / | x | , find lim f ( x ) as X - > 0 - and

For f(x)= x/|x|, find lim f(x) as X->0- and lim f(x) as x->0+. Is f(x) continuous at x=0? explain

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

The graph below is the function f (x) Find lim Find lim Find lim Find f ( 1)

Q:

f (x + h) - f(x) Find lim for the given function and value of x. h-0 h f(x) = 5x - 8, x = 1 f( x + h) - f(x) The lim for f(x) = 5x - 8, x = 1 is h h -0 (Type an integer or a simplified fraction.)

Q:

f( x + h) -f(x) Find lim for the given function and value of x h-0 h f(x) = -9x - 1, x=6 f(x th) - f(x) The lim for f(x) = - 9x - 1, x =6 is h (Type an integer or a simplified fraction.)

Q:

sin(2xx) x> 1/2 4) For f (x) = 4 x=1/2 find lim f(x) 2x - 1 x 4) For f(x) = 4 1 2x1 x>1/2 x =1/2 find limf(x) x

Q:

Name ___________________________ Date _____________________ Show COMPLETE work on all questions. You CANNOT just solve them on a calculator. Any answer that is not supported by COMPLETE work will not...

Q:

Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the exam, or if you prefer, create a document...

Q:

PART I - DO NOT USE A CALCULATOR ON ANY PROBLEM IN THIS SECTION. (Problems 1-37) Consider the graph of function, f, shown below. -10 Answer the following questions about function f. 1.) f(-5) = 2.) f...

Q:

Please help!!!! For this entire worksheet, if a limit does not exist, write "DNE". 1. Below you are given an input/output table for a function y = f(x) X f(x) X f(x) X f(x) X f(x) 5.1 20.4 4.9 19.6...

Q:

1) (10 pts) Find the slope of the line through (-3, 8) and (x, y) for y = x2 - 1 when: (Note: Ensure you carry enough significant digits in your calculations to arrive at an accurate answer.) a) x =...

Q:

NAME ___________________________ MAT 1022.E1 Midterm Exam Summer 2017 SCORE ________ INSTRUCTIONS: COMPLETE AND RETURN ONLY THE LAST PAGE ANSWER SHEET. I. Use lim 4x = 12 to identify: x3 1. f(x)...

Q:

Why might a special-interest group favor a transfer policy over an economic growth policy?

Q:

Three Month Rolling Average 2 Month Weighted Moving Average Exponential Smoothing $2,365.23 $2,366.84 $2,339.28 $8,115.92 $8,074.93 $7,951.89 $35,844.38 $40,131.65 $36,301.60 $11,566.05 $11,647.90...

Q:

Port, Inc., owns 1 0 0 % of Salem, Inc. On January 1 , Port sold Salem delivery equipment at a gain. Port had owned the equipment for 2 years and used a 5 - year straight - line depreciation rate...

Q:

Provide a discussion about the policy and ways in which it can be effectively implemented and evaluated Providea final conclusion that summarizes your thoughts and details ideas that might enhance...