Home
Class 11
MATHS
Sketch the graph of a function f that sa...

Sketch the graph of a function f that satisfies the given values:
f(-2) = 0 , f(2) = 0 , `lim_(xto-2)f(x)=0`
`lim_(xto2)f(x)` does not exist.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise EXERCISE 9.2|14 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise EXERCISE 9.3|12 Videos
  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - D)|5 Videos
  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-D (5 MARKS)|4 Videos

Similar Questions

Explore conceptually related problems

Sketch the graph of a function f that satifies the given values: f(-2)=0 , f(2)=0 , lim_(x to -2) f(x)=0 , lim_(x to 2) f(x) does not exist.

Sketch the graph of a function f that satisfies the given values: f(0) is underfined lim_(xto0)f(x)=4 , f(2) = 6, lim_(xto2)f(x)=3

Sketch the graph of a function f that satifies the given values: f(0) is undefined lim_( x to 0) f(x)=4 , f(2)=6 , lim_(x to 2) f(x)=3

Sketch the graph of an example of a rational function f that satisfies all the given conditions. (i) f(0)=0,f(1), lim_(xrarroo) f(x)=0,f " is odd" (ii) lim_(xrarr0^(+)) f(x)=oo,lim_(xrarr0^(-)) f(x)=-oo,lim_(xrarroo) f(x)=1,lim_(xrarr-oo) f(x)=1 (iii) lim_(xrarr-2) f(x)=oo, lim_(xrarr-oo) f(x)=3,lim_(xrarroo) f(x) = 3 , f(0)=0

lim_(xto0)(tan2x)/x

If f(x)={(x-|x|)/x ,x!=0 ,x=0,s howt h a t("lim")_(xto0) f(x) does not exist.

Consider the following graph of the function y=f(x). Which of the following is//are correct? (a) lim_(xto1) f(x) does not exist. (b) lim_(xto2)f(x) does not exist. (c) lim_(xto3) f(x)=3. (d)lim_(xto1.99) f(x) exists.

lim_(xto0)(1-cos^(2)x)/(xsin2x)