Home
Class 12
MATHS
lim(xrarr0^(+)){ln((x^(7)+2x^(6)e+x^(5)e...

`lim_(xrarr0^(+)){ln((x^(7)+2x^(6)e+x^(5)e^(2)))-ln(x^(2)sin^(3)x)}` is equal to

A

0

B

1

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos
  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos
  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos
  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The value of the lim_(x rarr0)(sin(5x^(5)+4x^(4)+3x^(3)+2x^(2)))/(ln(cos(x^(3)+x))) is equal

lim_(x rarr0)((ln(1+x^(2)+x^(4)))/((e^(x)-1)x)

The value of lim_(xrarr0)(ln(1+2x+4x^(2))+ln(1-2x+4x^(2)))/(secx-cosx) is equal to

The value of lim_(xrarroo)(e^(x+1)log(x^(3)e^(-x)+1))/(sin^(3)(2x)) is equal to (Use e = 2.7)

lim_(x rarr0)(sin(6x^(2)))/(ln cos(2x^(2)-x))

The value of lim_(xrarr0^(+))((1-cos(sin^(2)x))/(x^(2)))^((log_(e)(1-2x^(2)))/(sin^(2)x)) is

The value of lim_(xrarr0)(log(1+2x))/(5x)+lim_(xrarr2)(x^(4)-2^(4))/(x-2) is equal to

lim_(xrarr0)((2+2x+x^(2))-2e^(x))/(x^(2)) equals

lim_(x rarr0)(e^(x)+log(1+x)-(1-x)^(-2))/(x^(2))

lim_(xrarr0) (e^(x^(2))-cosx)/(x^2) is equal to

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. If f(x)=x^9-6x-2x^7+12 x^6+x^4-7x^3+6x^2+x-3, find f(6)dot

    Text Solution

    |

  2. Let f(x)=(1)/(1+x) and let g(x,n)=f(f(f(….(x)))), then lim(nrarroo)g(x...

    Text Solution

    |

  3. lim(xrarr0^(+)){ln((x^(7)+2x^(6)e+x^(5)e^(2)))-ln(x^(2)sin^(3)x)} is e...

    Text Solution

    |

  4. A continuous, even periodic function f with period 8 is such that f(0)...

    Text Solution

    |

  5. The value of int(0)^(1)(Pi(i=1)^(n)(x+i))(Sigma(j=1)^(n)(1)/(x+j))dx i...

    Text Solution

    |

  6. If f is a continuous and differentiable funciton in x in (0, 1) such t...

    Text Solution

    |

  7. int(0)^(1)[(x)/(sinx)]dx equals to, ([.] denotes greatest integers fun...

    Text Solution

    |

  8. If area bounded by the curve x^(2)y+y^(2)x=alpha y is 2 units, then po...

    Text Solution

    |

  9. Let f(x)={{:(2^([x]),, x lt0),(2^([-x]),,x ge0):}, then the area bound...

    Text Solution

    |

  10. The degree and order of differntial equation of family of circle touch...

    Text Solution

    |

  11. If k sin^(2)x+(1)/(k) cosec^(2) x=2, x in (0,(pi)/(2)), then cos^(2...

    Text Solution

    |

  12. Domain of the function f(x)=(1)/([sinx-1]) (where [.] denotes the grea...

    Text Solution

    |

  13. For f:N rarr R f(x)=(x^(3)-11^(3))^(1//3), the number of positive inte...

    Text Solution

    |

  14. If f(x)=={{:((sin(x))/({x})",",{x} ne 0),(k",",{x}0):}, where {x} deno...

    Text Solution

    |

  15. If f(x)=int(0)^(x)(e^(t)+3)dt, then which of the following is always t...

    Text Solution

    |

  16. Let g(x)=e^f(x)), g(x+1)=xg(x), then (g'((2n+1)/(2))g((1)/(2))-g'((1)/...

    Text Solution

    |

  17. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  18. Let f(x)=int((4x^(4)-2x^(3)-3x^(2)-4)dx)/((x^(4)+x^(3)+1)^(3//2)). If ...

    Text Solution

    |

  19. If x(1), x(2), x(3), x(4) are positive roots of the equation x^(4)-8x^...

    Text Solution

    |

  20. If int(0)^(1)(2^(t)dt)/(t+3)=A and int(a-1)^(a)(2^(t)dt)/(t+b-1)=2^(a-...

    Text Solution

    |