Home
Class 12
MATHS
The function f(x)={(1-2x+3-4x^(3)+…oo,|x...

The function `f(x)={(1-2x+3-4x^(3)+…oo,|x|lt1),(1,x=-1):}`

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 function f(x)={ 1-2x+3x^2-4x^3; x!=-1, 1; x=-1} discuss the continuity and differentiablilty at x=-1 .

Show that the function f(x)={:{(1-x", " x lt1),(x^2-1 ", " x ge 1):} is continuous but not differnetiable at x=1

Discuss the continuity of the function f(x)={{:(2x -1 "," x lt 1),(3x-2"," x ge 1):}

Graph the function f(x)={(3-x^(2), "if " x lt 1),(x^(3)-4x,"if "x ge 1):}

Discuss the continuity of the function f(x)= {(x , 0 le x lt1/2 ),( 12,x=1/2),( 1-x , 1/2ltxle1):} at the point x=1//2 .

The function f(x)={{:(,(x^(2))/(a),0 le x lt 1),(,a,1le x lt sqrt2),(,(2b^(2)-4b)/(x^(2)),sqrt2 le x lt oo):} is a continuous for 0 le x lt oo . Then which of the following statements is correct?

The function f(x)= {(5x-4 ", " 0 lt x le 1 ),( 4x^3-3x", " 1 lt x lt 2):}

Consider the functions f(x)={(x+1",",x le 1),(2x+1",",1lt x le 2):} and g(x)={(x^(2)",", -1 le x lt2),(x+2",",2le x le 3):} The range of the function f(g(x)) is

The function f(x) ={{:( 5x-4, " for " 0 lt x le 1) ,( 4x^(2) - 3x, " for" 1 lt x lt 2 ),( 3x + 4 , "for" x ge2):}is

The function f(x) = "max"{(1-x), (1+x), 2}, x in (-oo, oo) is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The number solution of the equation sgn(x^2)=|x-2| is (a)1 (b) 0 ...

    Text Solution

    |

  2. If alpha,beta are the roots of the equation, x^2-2x+3=0, find the e...

    Text Solution

    |

  3. The function f(x)={(1-2x+3-4x^(3)+…oo,|x|lt1),(1,x=-1):}

    Text Solution

    |

  4. Let f:RtoR be a differentiable function such that f(x)=x^(2)+int(0)^(x...

    Text Solution

    |

  5. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  6. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

    Text Solution

    |

  7. The solution of the equation 7^(logx)-5^(logx+1)=3. 5^(logx-1)-13. 7^(...

    Text Solution

    |

  8. int0^1(e^x dx)/(1+e^x)

    Text Solution

    |

  9. Find the equation of the curve in which the perpendicular from the ori...

    Text Solution

    |

  10. If the difference of the roots of the question ,x^(2)+px+q=0"be unity,...

    Text Solution

    |

  11. int e^(sin^(-1)x)((log(e)x)/(sqrt(1-x^(2)))+(1)/(x))dx is equal to

    Text Solution

    |

  12. If two events Aa n dB are such that P(A^o)=0. 3 ,P(B)=0. 4 ,a n dP(...

    Text Solution

    |

  13. If ' a ' is a natural number and ' b ' a digit such that(3a+2007)^2=4b...

    Text Solution

    |

  14. e^xlogy=sin^(-1)x+sin^(-1)y

    Text Solution

    |

  15. Consider an ellipse E ,(x^2)/(a^2)+(y^2)/(b^2)=1 , centered at point O...

    Text Solution

    |

  16. Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

    Text Solution

    |

  17. In the expansion of (x+y+z)^(20), which of the followign is False?

    Text Solution

    |

  18. If 1, z1,z2,.......,z6 are the 7th roots of unity then the value of (...

    Text Solution

    |

  19. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

    Text Solution

    |

  20. Statement 1: The range of f(x)=sin^(2)x-sinx+1 is [3/4,oo). Statemen...

    Text Solution

    |