Home
Class 12
MATHS
The value of lim(x to 0) (10^(x)-2^(x)-...

The value of `lim_(x to 0) (10^(x)-2^(x)-5^(x)+1)/(x log(1+x))` is -

A

`log _(2) 5 log _(e)2`

B

0

C

1

D

`log _(e) 5 log _(e)10`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 3|90 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(x to 0)(1+3x)^((x+2)/(x)) is -

The value of lim_(x to 0) (27^(x)-9^(x)-3^(x)+1)/(log_(e)(1+(x^(2))/(2))) is equal to -

The value of lim_(x to 0)(1-cos x)/(x^(2))

The value of lim_(x to 0)(e^(x)-log(e+ex))/(x) is -

Find the value of lim_(x to 0)(1+5x)^((x+2)/x) is

The value of lim_(x to 0) (1-3x)^((3)/(x)) is equal to -

The value of lim_(x rarr 0)(a^(2x)-1)/(2x) is

The value of lim_(x to 0) ((1+x+x^2)-e^x)/x^2 is equal to

The value of lim _(xto0) (xe ^(x)- log (1+x))/(x ^(2)) is equal to-

The value of lim_(x->0)(e^(x^2)-e^x+x)/(1-cos2x) is

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 5
  1. If a focal chord of y ^(2)=16x is a tangent to (x-6)^(2) +y^(2) =2,. t...

    Text Solution

    |

  2. If A={1,2,3,4,5}, B= {2,4,6}, C= {3,4,6} then (A uuB) nnC is-

    Text Solution

    |

  3. The orbit of the earth around the sun is an ellipes with the sun at on...

    Text Solution

    |

  4. In which of the following intervals two function f (x) =x and g(x) =+ ...

    Text Solution

    |

  5. If A(n) ={ x:2 2+(1)/(n) le x le 10- (1)/(n), n =1,2,3…}. then the val...

    Text Solution

    |

  6. If two sets A and B have 99 elements in common , then the number of el...

    Text Solution

    |

  7. The range of the function f(x) =sin (sin ^(-1) x+cos ^(-1)x) (|x| le 1...

    Text Solution

    |

  8. The value of lim(x to 0) (10^(x)-2^(x)-5^(x)+1)/(x log(1+x)) is -

    Text Solution

    |

  9. If f (x) =(3x+2)/(5x-3) (x ne (3)/(5)), then which one of the followin...

    Text Solution

    |

  10. If f(x) {{:(x^(2) -3",", "when " 2 lt x lt 3),(2x+5"," ,"when" 3 lt x ...

    Text Solution

    |

  11. Let f(x) ={{:(((4^(x) -1)^(3))/(sin ""x/alog (1+ (x^(2))/(3)))"," ,"wh...

    Text Solution

    |

  12. Let {{:(px^(2) +1",", "when " x le1),(x+p",", "when" x gt1):} The valu...

    Text Solution

    |

  13. The function f satisfies the relation f(x+y) =f(x) f(y) for all ral x,...

    Text Solution

    |

  14. The dervative of f (x) =|x-1| + |x-4| at x=3 is equal to-

    Text Solution

    |

  15. If f (x) = sin (log x) then the value of f(xy)+f((x)/(y))-2f (x) cos ...

    Text Solution

    |

  16. The value of lim (xto4) (3- sqrt(5+x))/(1-sqrt(5-x)) is-

    Text Solution

    |

  17. The domain of definition of the function f (x) =(sin ^(-1) (x-3))/(sqr...

    Text Solution

    |

  18. It the graph of the function y=f (x) is symmetrical about the line x=2...

    Text Solution

    |

  19. lim ( x to oo) (1+ (1)/(x))^(x//2) is equal to-

    Text Solution

    |

  20. If the function f (x) is defined by f (x) =a+bx and f ^( R)= f f f … (...

    Text Solution

    |