Home
Class 11
MATHS
The value of (lim)(x->oo)(e^sqrt(x^(4+1)...

The value of `(lim)_(x->oo)(e^sqrt(x^(4+1))-e^(x^(2+1)))` is (a) `0` b. `e` c. `1//e` d. `-oo`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

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

The value of lim_(xto4)((e^(x)-e^(4))/(x-4)) is

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

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

Find the value of (d)/(dx)(x(e^(x)+e^(4x))/(e^(x)+e^(-2x))) .

Evaluate: lim_(x->0)(e^x-1-x)/(x^2)

Evaluate: lim_(x->0)(e-(1+x)^(1/x))/x

lim_(x to 0) (e^(x^2) - 1)/sin^2x

Evaluate : lim_(x->oo)(a x^2+b x+c)/(dx^2+e x+f)dot

The value of lim_(xrarr4)((e^x-e^4)/(x-4)) is _______

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. (lim)(xvecpi/2)((1-sin x)(8x^3-pi^3)cos x)/((pi-2x)^4) a.(pi^2)/6 b...

    Text Solution

    |

  2. The value of lim(x->pi/4) (sqrt(1-sqrt(sin2x)))/(pi-4x) is

    Text Solution

    |

  3. The value of (lim)(x->oo)(e^sqrt(x^(4+1))-e^(x^(2+1))) is (a) 0 b. e c...

    Text Solution

    |

  4. If an and bn are positive integers and an+sqrt(2)bn=(2+sqrt(2))^n ,t h...

    Text Solution

    |

  5. Iff(x)={x+1/2, x<0 2x+3/4,x >=0 , then [(lim)(x->0)f(x)]= (...

    Text Solution

    |

  6. (lim)(X-> (-7)([x]^2+15[x]+56)/("sin"(x+7)"sin"(x+8))= (where [.] deno...

    Text Solution

    |

  7. Let L1=(lim)(x^vec4)(x-6)^x and L2=(lim)(x^vec4)(x-6)^4dot Which of t...

    Text Solution

    |

  8. If f:R->R is defined by f(x)=[x−3]+|x−4| for x in R, then lim(x->3) f(...

    Text Solution

    |

  9. If [dot] denotes the greatest integer function, then (lim)(xvec0)x/a...

    Text Solution

    |

  10. underset(xrarr(-1)/(3))(lim)(1)/(x)[(-1)/(x)]= (where [.] denotes the ...

    Text Solution

    |

  11. (lim)(xvecoo)x^2sin((log)esqrt(cospi/x)) a. 0 b. (pi^2)/2 c. (pi^2...

    Text Solution

    |

  12. underset(xrarr0)(lim)(1)/(x^(2))|(1-cos3x,log(e)(1+4x)),(sin^(-1)(x^(x...

    Text Solution

    |

  13. If graph of the function y=f(x) is continuous and passes through point...

    Text Solution

    |

  14. lim(x->oo)[x-loge((e^x+e^(-x))/2)]= a)(log)e4 b. 0 c. oo d. (log)e...

    Text Solution

    |

  15. The value of lim(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is (a)1/2 ...

    Text Solution

    |

  16. If underset(xrarroo)(lim)((x+c)/(x-c))^(x)=4 then the value of e^(c) i...

    Text Solution

    |

  17. If f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(...

    Text Solution

    |

  18. If lim(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim(x-...

    Text Solution

    |

  19. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

    Text Solution

    |

  20. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

    Text Solution

    |