Home
Class 11
MATHS
Evaluate: ("lim")(xveca)("log"(x-a))/(lo...

Evaluate: `("lim")_(xveca)("log"(x-a))/(log(e^x-e^a))`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

lim_(xtoa) (log(x-a))/(log(e^(x)-e^(a)))

If the graph of the function y=f(x) has a unique tangent at the point (a ,0) through which the graph passes, then evaluate ("lim")_(xveca)((log)_e{1+6f(x)})/(3f(x))

Evaluate lim_(xto a)(log{1+(x-a)})/((x-a))

Evaluate (lim)_(x->0)((log)_e x)/(x-1)

Evaluate: lim_(xto0)(log(e^(x)-x))/(1-cosx)

Evaluate : ("lim")_(xto1)(x^2+x(log)_e x-(log)_e x-1)/((x^2-1)

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

Evaluate lim_(xtooo) (log_(e)x)/(x)

Evaluate lim_(xto2) sin(e^(x-2)-1)/(log(x-1))

lim_(xrarre) (log_(e)x-1)/(|x-e|) is

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: ("lim")(xvec0)(a^(tanx)-a^(sinx))/(tanx-sinx),a >0

    Text Solution

    |

  2. lim(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45)) is equal to (a)16 (b)...

    Text Solution

    |

  3. Evaluate: ("lim")(xveca)("log"(x-a))/(log(e^x-e^a))

    Text Solution

    |

  4. The value of ("lim")(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1...

    Text Solution

    |

  5. Evaluate: ("lim")(xvec0)(e^x+e^(-x)-2)/(x^2)

    Text Solution

    |

  6. lim(x->oo)n^2(x^(1/n)-x^(1/((n+1)))),x >0 , is equal to (a)0 (b)...

    Text Solution

    |

  7. Evaluate: ("lim")(x-oo)x^(1/x)

    Text Solution

    |

  8. The value of ("lim")(x->pi)(1+cos^3x)/(sin^2x)i s 1/3 (b) 2/3 (c) -...

    Text Solution

    |

  9. Evaluate: underset(x rarr 0)("lim") ((729)^x-(243)^x-(81)^x+9^x+3^x-1...

    Text Solution

    |

  10. If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be c...

    Text Solution

    |

  11. Evaluate: lim(n->oo)(-1)^(n-1)sin(pisqrt(n^2+0. 5 n+1)),where n in N

    Text Solution

    |

  12. ("lim")(xvecoo)1/(1+nsin^2n x) i s equal to (a)-1 (b) 0 (c) 1 (d) ...

    Text Solution

    |

  13. Let the sequence {bn} real numbers satisfies the recurrence relation b...

    Text Solution

    |

  14. Which of the following true ({.} denotes the fractional part of the ...

    Text Solution

    |

  15. Evaluate: ("lim")(n->oo)(4^n+5^n)^(1/n)

    Text Solution

    |

  16. If ("lim")(x->1)(2-x+a[x-1]+b[1+x]) exists, then a and b can take the ...

    Text Solution

    |

  17. Evaluate: ("lim")(n→oo)(n^p sin^2(n !))/(n+1)

    Text Solution

    |

  18. ("lim")(n→oo)(a n-(1+n^2)/(1+n))=b , where a is a finite number, then ...

    Text Solution

    |

  19. Evaluate: ("lim")(xvecoo)x^3{sqrt(x^2+sqrt(1+x^4))-xsqrt(2)}

    Text Solution

    |

  20. If m , n in N ,("lim")(xvec0)(sinx^n)/((sinx)^m)i s (a) 1, if n=m (b)...

    Text Solution

    |