Home
Class 12
MATHS
The value of ("lim")(xvec0)(e^(2x)-cos x...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate: ("lim")_(xvec0)(x2^x-x)/(1-cosx)

The value of ("lim")_(xvec0)(1+sinx-cosx+"log"(1-x))/(x^3)i s 1/2 (b) -1/2 (c) 0 (d) none of these

Evaluate: ("lim")_(xvec0)(e^x^2-cosx)/(x^2)

If f(x) is differentiable and strictly increasing function, then the value of ("lim")_(xvec0)(f(x^2)-f(x))/(f(x)-f(0)) is 1 (b) 0 (c) -1 (d) 2

Evaluate: ("lim")_(xvec0)(cot2x-cos e c2x)/x

Evaluate: ("lim")_(xvec0)(1-cosm x)/(1-cosn x)

Evaluate: ("lim")_(xvec0)(log(5+x)-"log"(5-x))/x

Evaluate: ("lim")_(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If y=x+e^x , find (d^2x)/(dy^2) .

    Text Solution

    |

  2. The arithmetic mean of the numbers 2s in2^0,4sin4^0,6sin^0, ddot, 178s...

    Text Solution

    |

  3. The value of ("lim")(xvec0)(e^(2x)-cos x-"ln"(1+2x))/(xtanx-sinx)i s ...

    Text Solution

    |

  4. If f(x)={min{x ,x^2}; xgeq0,min"("2x ,x^2-1"}"; x<0 , then number of p...

    Text Solution

    |

  5. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

    Text Solution

    |

  6. Let f be a continuous real function such that f(11)=10 and for all ...

    Text Solution

    |

  7. If a ,b in {1,2,3,4}and a x^2+b x+1=0 has real roots then number of ...

    Text Solution

    |

  8. If f(x)={1+x, for 0lt=xlt=2 3-x, for 2lt x lt=3 then the number of va...

    Text Solution

    |

  9. Consider the function f defined by f(x)={[0,x=0 or x is irrational],[...

    Text Solution

    |

  10. if m belongs to [-1,0], then prove that the equation sin^4 x+ (m+1) si...

    Text Solution

    |

  11. The value(s) of a, so that following equation (s) have common root(s...

    Text Solution

    |

  12. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthet...

    Text Solution

    |

  13. Let f: RvecR be a continuous function and f(x)=f(2x) is true AAx in R...

    Text Solution

    |

  14. ("lim")(n ->oo)[sum(r=1)^n1/(2^r)],"where "[dot]" denotes G I F is equ...

    Text Solution

    |

  15. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  16. (lim)(kvec0)(I n(I n(1+k^4)))/(I n(I n(1+k^2)))=lambda,t h e nlambdai ...

    Text Solution

    |

  17. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are a) con...

    Text Solution

    |

  18. If equation f(x)=x^4-a x^3+b x^2-c x+420 have all roots integer and gr...

    Text Solution

    |

  19. If m1 and m2 are the roots of the equation x^2-a x-a-1=0 , then the ar...

    Text Solution

    |

  20. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0....

    Text Solution

    |