Home
Class 12
MATHS
Evaluate ("Lim")(x->pi/4)(2-tanx)^(1/(ln...

Evaluate `("Lim")_(x->pi/4)(2-tanx)^(1/(ln(tanx)))` using Lhospitals Rule

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Evaluate: ("Lim")_(x->0)(1/x)^(tanx)

Evaluate lim_(xto pi//4) (2-tanx)^(1//1n(tanx))

Evaluate ("Lim")_(x->0)(2^x-1)/((1+x)^(1//2)-1) using Lhospitals Rule

Evaluate ("Lim")_(x->0)[1/(x^2)-1/(sin^2x)] using LHospitals Rule or otherwise :

Evaluate ("Lim")_(x->pi/2)tanxlogsinx using Lhospitals Rule

Evaluate ("Lim")_(x->0)(1+sinx-cosx+ln(1-x))/(x tan^2x) using LHospitals Rule or otherwise :

Evaluate : lim_( x -> 0 ) ( x/tanx )

Evaluate : lim_(x rarr 0)(tanx/x)^(1/x)

int_(-pi//4)^0 (1+tanx)/(1-tanx) dx

int_(0)^(pi//2)(tanx)/((1+tanx))dx=?

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate ("Lim")(x->0)(logcosx)/x using Lhospitals Rule

    Text Solution

    |

  2. Evaluate ("Lim")(x->0)(2^x-1)/((1+x)^(1//2)-1) using Lhospitals Rule

    Text Solution

    |

  3. Evaluate ("Lim")(x->pi/4)(2-tanx)^(1/(ln(tanx))) using Lhospitals Rule

    Text Solution

    |

  4. If ("Lim")(x->a)(a^x-x^a)/(x^x-a^a)=-1 and a >0 , then find the value ...

    Text Solution

    |

  5. f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim(x->oo)f(x) is equal...

    Text Solution

    |

  6. Let f(x+y)=f(x)f(y) for all x and y . Suppose f(5)=2 and f^(prime)(0)=...

    Text Solution

    |

  7. Let f(x y)=f(x)f(y)\ AA\ x ,\ y in R and f is differentiable at x=1 s...

    Text Solution

    |

  8. If f((x+2y)/3)=(f(x)+2f(y))/3\ AA\ x ,\ y in R and f^(prime)(0)=1 , f...

    Text Solution

    |

  9. If f is twice differentiable such that f^(x)=-f(x) and f^(prime)(x)=g(...

    Text Solution

    |

  10. Let f(x)=(lim)(h->0)(("sin"(x+h))^(1n(x+h))-(sinx)^(1nx))/hdot Then f...

    Text Solution

    |

  11. Suppose f(x)=e^(a x)+e^(b x) , where a!=b , and that f"(x)-2f'(x)-15f(...

    Text Solution

    |

  12. Let u(x) and v(x) are differentiable functions such that (u(x))/(v(x))...

    Text Solution

    |

  13. A function is represented parametrically by the equations x=(1+t)/(...

    Text Solution

    |

  14. If x=t^3+t+5 & y=sint then (d^2y)/(dx^2)= (a) -((3t^2+1)sint+6tcost)/(...

    Text Solution

    |

  15. Let g is the inverse function of fa n df^(prime)(x)=(x^(10))/((1+x^2))...

    Text Solution

    |

  16. The equation y^2e^(x y)=9e^(-3) x^2 defines y as a differentiable func...

    Text Solution

    |

  17. A nonzero polynomial with real coefficient has the property that f(x)=...

    Text Solution

    |

  18. If y=x/(sqrt(a^2-1))-2/(sqrt(a^2-1))tan^(-1)((sinx)/(a+sqrt(a^2-1)+cos...

    Text Solution

    |

  19. (lim)(hvec0)((e+h)^(1n(e+h))-e)/hi s

    Text Solution

    |

  20. For the curve represented implicitly as 3^x-2^y=1 , the value of ("Lim...

    Text Solution

    |