Home
Class 12
MATHS
If f(x) {:( =(x-|x|)/x", ... " x!=0...

If f(x) ` {:( =(x-|x|)/x", ... " x!=0 ),(=2", ... " x = 0 ):}` then : ` lim _(x to 0) f(x) ` =

A

2

B

0

C

1

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x,x 0 then lim_(x rarr0)f(x) is equal to

If : f(x){:( =1", ... x is rational"),(=0", ...x is irrational" ):} then : lim_(x to 0)f(x)=

f(x)=x,x 0 then find lim_(x rarr0)f(x) if exists

If the function f (x) = {{:(3,x lt 0),(12, x gt 0):} then lim_(x to 0) f (x) =

If F (x) = {{:(-x^(2) + 1, x lt 0),(0,x = 0),(x^(2) + 1,x gt = 0):} , .then lim_(x to 0) f(x) is

Consider the function : " "f(x)={{:(x-2",", x lt 0), (" 0,", x=0), (x+2",", x gt 0.):} To find lim_(x to 0) f(x) .

If f(x) = 1/x for all x != 0 then : lim _(x rarr 0 ) f((1-cos 5x)/x)=

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. If f(x) {:(=(x^(n)-2^(n))/(x-2)", if " x!=2 ),(= 1024 ", ...

    Text Solution

    |

  2. If the function f(x) {:( = 4(5^(x))",....... " x lt0),(= 8a+x", ........

    Text Solution

    |

  3. If f(x) {:( =(x-|x|)/x", ... " x!=0 ),(=2", ... " x...

    Text Solution

    |

  4. If f(x) is continuous and f(9/2)=2/9 , then : lim(x to 0) f((1-cos 3x...

    Text Solution

    |

  5. If f(x) = 1/(1-x), then the points of dicontinuity of the composite...

    Text Solution

    |

  6. Value of f(pi/4) so that the function f(x) = (tan(pi/4-x))/(cot 2x), ...

    Text Solution

    |

  7. If the function f(x) {:(=5x-4", ... "0 lt x le 1 ), (=4x^(2)+...

    Text Solution

    |

  8. If f(x) is continuous at x=3, where f(x)={:{((x^(2)-9)/(x-3),", for"x...

    Text Solution

    |

  9. If f(x) {:( =(sin pix)/(5x)", if " x!=0),(=k ", if " x = ...

    Text Solution

    |

  10. If f(x) = |x-2|, then :

    Text Solution

    |

  11. Givenf(x)=ax^(2)+b," "" if "xlt-1 =bx^(2)+ax+4," "" if "xge-1 If...

    Text Solution

    |

  12. If f(x) {:(=(x^(2)-4x+3)/(x^(2)-1)", ..."x!=1 ),( =2", ...

    Text Solution

    |

  13. If : f(x) {:(=(sinx )/x+ cos x", ..."x!=0),(=2", ...

    Text Solution

    |

  14. If : f(x){:( =1", ... x is rational"),(=0", ...x is irr...

    Text Solution

    |

  15. Let f(x) be given that f(x)={{:(,x,"if x is rational"),(,1-x,"if x is ...

    Text Solution

    |

  16. The value of p and q for which the function f(x)""={(sin(p+1)x+sinx)/x...

    Text Solution

    |

  17. If : f(x) {:(=1", ... "0 ltx le (3pi)/4), (= 2 ...

    Text Solution

    |

  18. If : f(x) {:(=x.sin x ", ... " 0 lt x le pi/2),(=pi/2 sin...

    Text Solution

    |

  19. Let : f(x) {:(=(1-cos 4x)/(x^(2))", ... "x lt 0 ),(= a", ...

    Text Solution

    |

  20. If : f(x) {:(=ax^(2)-b", ... " 0 le x lt 1 ),(=2", ...

    Text Solution

    |