Home
Class 12
MATHS
The value of ("lim")(xvecoo)(cos"x"/"m")...

The value of `("lim")_(xvecoo)(cos"x"/"m")^("m")` is 1 (b) e (c) `e^(-1)` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos

  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(m rarr oo)(cos((x)/(m)))^(m) is 1(b)e(c)e^(-1)(d) none of these

The value of ("lim")_(xvec0)(e^(2x)-cos x-"ln"(1+2x))/(xtanx-sinx)i s 0 (b) 1 (c) 2 (d) 3

The value of (lim)x rarr0(sqrt(1-cos x^(2)))/(1-cos x) is a.(1)/(2) b.2 c.sqrt(2)d .none of these

The value of lim_(x rarr0)(1+sin x-cos x+log(1-x))/(x^(3)) is (1)/(2)(b)-(1)/(2)(c)0(d) none of these

(xe^x)/(1+x)^2dx= (A) e^x/(1+x) (B) e^x/(1+x)^2 (C) e^xlog(1+x) (D) none of these

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

The value of (lim)_(xvecoo)[tan^(-1)(x+1)/(x+2)-dotpi/4],w h e r e[x] denotes greatest integer lt=x , is 1/2 b. -1/2 c.1 d. -1

The value of lim_(x->1)(2-x)^(tan((pix)/2)) is e^(-2/pi) (b) e^(1/pi) (c) e^(2/pi) (d) e^(-1/pi)

f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim_(x->oo)f(x) is equal to (a) 1 (b) 1/2 (c) 2 (d) none of these

int_0^oo (xlogx)/(1+x^2)^2dx= (A) e (B) 1 (C) 0 (D) none of these

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. ("lim")(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1))i se q u a lto ...

    Text Solution

    |

  2. ("lim")(xvecoo)(2sqrt(x)+3x3+4x4++n x n)/(sqrt((2x-3))+(2x-3)3++(2x-3)...

    Text Solution

    |

  3. The value of ("lim")(xvecoo)(cos"x"/"m")^("m") is 1 (b) e (c) e^(-1...

    Text Solution

    |

  4. If f(x)=("lim")(xvecoo)n(x^(1/n)-1),t h e nforx >0,y >0,f(x y) is equa...

    Text Solution

    |

  5. The value of ("lim")(xvec2)(2^x+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))i s ...

    Text Solution

    |

  6. ("lim")(xvecoo)"{"(n/(n+1))^(alpha)+s in1/n"]"^n(w h e nalpha in Q)i ...

    Text Solution

    |

  7. Let f(x)=("lim")(xvecoo)1/((3/pitan^(-1)2x)^(2n)+5)dot Then the set of...

    Text Solution

    |

  8. ("lim")(xvec0){(1+x)^(2/x)} (where {.} denotes the fractional part of ...

    Text Solution

    |

  9. lim(x->0) sin(x^2)/(ln(cos(2x^2-x)) is equal to

    Text Solution

    |

  10. If f(x)={x^nsin(1/(x^2)),x!=0 0,x=0,(n in I),t h e n ("lim")(xvec0)...

    Text Solution

    |

  11. (lim)(x->0)((1^x+2^x+3^x++n^x)/n)^(1/x)\ is equal to (n\ !)\ ^n b. (n...

    Text Solution

    |

  12. Among (i) ("lim")(xvec0)sec^(-1)(x/(sinx))a n d(i i i)("lim")(xvecoo)s...

    Text Solution

    |

  13. If ("lim")(xvec0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n m...

    Text Solution

    |

  14. ("lim")(xvec1)((1-x)(1-x^2)(1-x^(2n)))/({(1-x)(1-x^2)(1-x^n)}^2),n in ...

    Text Solution

    |

  15. The value of ("lim")(xvec0)([(100 x)/(sinx)]+[(99sinx)/x]) (where [.] ...

    Text Solution

    |

  16. If ("lim")(xvec0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n m...

    Text Solution

    |

  17. If ("lim")(xvec0)(x^(-3)sin3x+a x^(-2)+b) exists and is equal to 0, th...

    Text Solution

    |

  18. For let h(x)={1/q if x=p/q and 0 if x is irrational where p & q ...

    Text Solution

    |

  19. ABC is an isosceles triangle described in a circle of radius r.If AB=...

    Text Solution

    |

  20. Let f be a differentiable function on the open interval(a, b). Which o...

    Text Solution

    |