Home
Class 12
MATHS
The value of underset(xto2)lim(2^(x)+2^(...

The value of `underset(xto2)lim(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))" is "`

A

16

B

8

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|5 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • MATHEMATICAL INDUCTION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|30 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(xto2) (2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))" is "

Evaluate underset(xto3)"lim"((x^(2)-9))/((x-3))

Evaluate underset(xto1)"lim"(x^(4)-sqrt(x))/(sqrt(x)-1) .

Evaluate underset(x to -oo)lim(sqrt(x^(2)+3x+1))/(2x+4)

underset (xto0)lim(10^(x)-2^(x)-5^(x)+1)/(l n (secx)) is equal to

lim_(x->2)(x-2)/(2-sqrt(6-x))

The value of lim_(xto(1)/(sqrt(2))) (x-cos(sin^(-1)x))/(1-tan(sin^(-1)x))" is "

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

The value of lim_(xto2) (((x^(3)-4x)/(x^(3)-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(x)-sqrt(2)))^(-1))" is "

Evaluate underset(xto0)lim(5sinx-7sin2x+3sin3x)/(x^(2)sinx).

OBJECTIVE RD SHARMA ENGLISH-LIMITS-Exercise
  1. Write the value of (lim)(x->-oo)(3x+sqrt(9x^2-x))

    Text Solution

    |

  2. underset(xrarr(pi)/(4))(lim)(int(2)^(sec^(2)x)f(t)dt)/(x^(2-)(pi^(2))/...

    Text Solution

    |

  3. The value of underset(xto2)lim(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))...

    Text Solution

    |

  4. value of lim(x->0)(1-cos^3x)/(xsinx*cosx) is

    Text Solution

    |

  5. lim(xrarr1)(sqrt1-cos2(x-1))/(x-1), is

    Text Solution

    |

  6. Evaluate the following limits (i) lim(x to (pi)/(2)) tan^(2) x [sqr...

    Text Solution

    |

  7. The value of lim(xrarr 0) (1-cos(1-cos x))/(x^4) is equal to

    Text Solution

    |

  8. The value of lim (xto0) (cos (sin x )- cos x)/(x ^(4)) is equal to :

    Text Solution

    |

  9. The value of underset(xto1)lim(2-x)^(tan((pix)/(2))) is

    Text Solution

    |

  10. The value of lim(xrarroo) ((3x-4)/(3x+2))^(((x+1)/3)) is

    Text Solution

    |

  11. lim(x->oo) ((x^2-2x+1)/(x^2-4x+2))^x is equal to

    Text Solution

    |

  12. The value of lim(xrarr0) ((1+tanx)/(1+sin x))^(cosec x) , is

    Text Solution

    |

  13. lim(x rarr 0)((5x^2+1)/(3x^2+1))^(1//x^2)

    Text Solution

    |

  14. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

    Text Solution

    |

  15. The value of lim(x->0) ( int0 ^ (x^2) cost^2 dt)/( xsin x) is

    Text Solution

    |

  16. ("lim")(xvec0)(1n(1+2h)-21 n(1+h))/(h^2)=

    Text Solution

    |

  17. The value of lim(xrarr1)(log5 5x)^(logx5) , is

    Text Solution

    |

  18. The value of lim(xrarr1)(log2 2x)^(logx5), is

    Text Solution

    |

  19. lim(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n...

    Text Solution

    |

  20. If 0lt xlty, then lim(xrarroo) (y^n+x^n)^(1//n) is equal to

    Text Solution

    |