Home
Class 11
MATHS
Given f(x) ={{:( ( x)/( |x|)),(2),( xn...

Given ` f(x) ={{:( ( x)/( |x|)),(2),( xne 0),( x= 0) :} } "find " lim _( xto 0) f(x) `

Text Solution

Verified by Experts

The correct Answer is:
`lim _ ( xto0) 1= 1 `
Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION QUESTION PAPER MARCH 2013 NORTH

    SUBHASH PUBLICATION|Exercise PART B|15 Videos
  • ANNUAL EXAMINATION QUESTION PAPER MARCH 2013 NORTH

    SUBHASH PUBLICATION|Exercise PART C|17 Videos
  • ANNUAL EXAMINATION QUESTION PAPER -7

    SUBHASH PUBLICATION|Exercise Section -E|4 Videos
  • ANNUAL EXAMINATION QUESTION PAPER MARCH 2013 SOUTH

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

Similar Questions

Explore conceptually related problems

If f(x) = [((sin [x])/([x]), [x] ne 0),(0, [x] = 0)] , then lim_(x rarr 0) f(x) is :

Given f(x) ={(x/|x|, xne0),(0,x=0):} , find if limit exists at x=0

If f(x) = {(1/(1+e^(1/x)), x ne 0),(0, x= 0):} then f(x) is

lim _ (xto 0) (a^(x) -bx) /( x)

Let f(x) = {{:(x (sin 1//x + sin (1//x^(2))),,x ne 0),(0,,x = 0):} Then lim_(x rarr oo) f(x) equals :

lim _ ( xto 0) ( tan 7x)/( tan 4x)

If f(x)={((1-cosx)/(x),xne0),(k, x=0):} is continuous at x=0 then k=

Let f(x)={{:(x sin.(1)/(x)",",x ne0),(0",",x=0):}} and g(x)={{:(x^(2)sin.(1)/(x)",", x ne 0),(0",", x=0):}} Discuss the graph for f(x) and g(x), and evaluate the continuity and differentiabilityof f(x) and g(x).