Home
Class 11
MATHS
If f(x)=underset(nrarroo)(lim)((x^(2)+ax...

If `f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(2n))andunderset(xrarrpm1)(lim)f(x)` exists, then
The value of b is

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

If f(x)=lim_(nrarroo)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(2n)) and lim_(xrarrpm1)f(x) exists, then The value of b is

If f(x)=lim_(nrarroo) ((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(2n)) and lim_(xrarrpm1) f(x) exists, then The value of a is

If f(x)=ax^(2)+bx+c and f(x+1)=f(x)+x+1 , then the value of (a+b) is __

If underset(xto0)lim(f(x))/(sin^(2)x)=8,underset(xto0)lim(g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " underset(xto0)lim(1+2f(x))^((1)/(g(x)))=(1)/(e)," then" The value of lamda is

f(x)=(3x^2+a x+a+1)/(x^2+x-2) and lim_(x->-2)f(x) exists. Then the value of (a-4) is__________

Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.

Let f(x)=lim_(n->oo)(log(2+x)-x^(2n)sinx)/(1+x^(2n)) . then

Given g(x)=(1/x), h(x)=x^(2)+2x+(lamda+1) and u(x)=1/x+cos(1/(x^(2))) Let f(x)=lim_(ntooo)(x^(2n+1)g(x)+h(x))/(x^(2n)+3x.u(x)) If lim_(xto0)f(x)=2 , then the value of lamda is

Let f(x)={{:(,x^(3),x lt 1),(,ax^(2)+bx+c,:x ge 1):} . If f''(1) exists, then the value of (a^(2)+b^(2)+c^(2)) is

Let f(x) and g(x) be two continuous function and h(x)= lim_(n to oo) (x^(2n).f(x)+x^(2m).g(x))/((x^(2n)+1)). if the limit of h(x) exists at x=1, then one root of f(x)-g(x) =0 is _____.

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. The value of ("lim")(xvec0)(1+sinx-cosx+"log"(1-x))/(x^3)i s 1/2 (b)...

    Text Solution

    |

  2. If underset(xrarroo)(lim)((x+c)/(x-c))^(x)=4 then the value of e^(c) i...

    Text Solution

    |

  3. If f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(...

    Text Solution

    |

  4. If lim(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim(x-...

    Text Solution

    |

  5. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

    Text Solution

    |

  6. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

    Text Solution

    |

  7. (lim)(x->0)((sqrt(1+xsin x)-sqrt(cos2x))/(tan^2(x//2))) is equal to 1/...

    Text Solution

    |

  8. The value of underset(xrarroo)(lim)x^(2)(1-cos.(1)/(x)) is

    Text Solution

    |

  9. lim(x->0) (Cosx -1)/x is equal to

    Text Solution

    |

  10. lim x→(2^+) { x } sin( x−2 ) /( x−2)^2 ...

    Text Solution

    |

  11. The value of (lim)x->0(sqrt(1-cos"x"^2))/(1-cosx) is a.1/2 b. 2 c. s...

    Text Solution

    |

  12. If f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(...

    Text Solution

    |

  13. lim(x->0)(e^(5x) - 1)/(3x)

    Text Solution

    |

  14. lim(x->(pi/2)) (1-sinx)tanx =

    Text Solution

    |

  15. The value of (lim)(xvec3)((x^3+27)(log)e(x-2))/(x^2-9) is a. 9 b. 1...

    Text Solution

    |

  16. If (lim)(xvec0)(e^(a x)-e^x-x)/(x^2)=b (finite), then a=2,b=0 b. a=0,b...

    Text Solution

    |

  17. If underset(xrarr0)(lim)(x^3)/(sqrt(a+x)(bx-sinx))=1,agt0, then a+b is...

    Text Solution

    |

  18. underset(xrarr0)(lim)[(sin^(-1)x)/(tan^(-1)x)]= (where [.] denotes the...

    Text Solution

    |

  19. The value of lim(x->pi/4) (sqrt(1-sqrt(sin2x)))/(pi-4x) is

    Text Solution

    |

  20. lim(x->0) (sin x /x)

    Text Solution

    |