Home
Class 12
MATHS
Given , f(x)=x^(2)+ax+3,g(x)=x+band f (x...

Given , `f(x)=x^(2)+ax+3,g(x)=x+band f (x)=underset(nrarroo)(lim)(f(x)+x^(2n)g(x))/(1+x^(2n))`
If F (x) is continuous at x = 1 , then -

A

`b=a+3`

B

`b=a-1`

C

`a=b-2`

D

`a=b+3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|1 Videos

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS(Multiple Corrrect Answer type)|11 Videos

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2016)|3 Videos

Similar Questions

Explore conceptually related problems

If f (x)=underset(nrarroo)"lim"(1)/(1+x^(2n)) find f (x) for all real x .

Find the values of a if f(x)=("lim")_(n rarr oo)(a x^(2n)+2)/(x^(2n)+a+1) is continuous at x=1.

If phi(x)=lim_(nrarrinfty)(x^(2n)f(x)+g(x))/(1+x^(2n)) , then

If f(x)=underset(nrarroo)"lim"(1)/(1+nsin^(2)pix) , find f (x) for all real values of x .

Let f(x)=(1)/(1+x^(2)) and g(x) is the inverse of f(x) ,then find g(x)

Let f(x) be a polynomial of degree one and f(x) be a function defined by f(x)={(g(x), x le0), ((1+x)/(2+x)^(1//x), x gt0):} If f(x) is continuous at x=0 and f(-1)=f'(1), then g(x) is equal to :

Let f(x)=x^(2) and g(x)=2x+1 be two real functions. Find (f+g) (x), (f-g) (x), (fg) (x), (f/g) (x) .

f(x)=(lim)_(n->oo)(sin(pix/2))^(2n) for x >0,x!=1 ,and f(1)=0. Discuss the continuity at x=1.

Let f(x)=lim_(ntooo) (x)/(x^(2n)+1). Then f has

If g (x) is the inverse of f (x) and f(x)=(1)/(1+x^(3)) , then find g(x) .