Home
Class 12
MATHS
Let f be a continuous function on R su...

Let ` f ` be a continuous function on `R` such that `f (1/(4n))=sin e^n/(e^(n^2))+n^2/(n^2+1)` Then the value of `f(0) ` is

A

not unique

B

1

C

data sufficient to find f(0)

D

data insufficient of find f(0)

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    MOTION|Exercise EXERCISE -2 (LEVEL -II) MIXED PROBLEMS|4 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE - 3|19 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE -2 (LEVEL -II) SINGLE POINT DISCONTINUITY|1 Videos
  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos
  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

Similar Questions

Explore conceptually related problems

Let f be a continuous function on R such that f(1//2^n) =(sin e^n) e^(-n^2)+(2n^2)/(n^2+1) .Then the value of f(0) is

If f(x) is continuous and differerntiable function such that f((1)/(n))=0 for all n in N , then

If f(x) is a polynomial of degree n such that f(0)=0,f(x)=(1)/(2),...,f(n)=(n)/(n+1) then the value of f(n+1) is

Let f be a function from be set of positive integers to the set of real numbers i.e. f: N to R , such that f(1)+2f(2)+3f(3)+……+nf(n)=n(n+1)f(n) form ge2 , then find the value of f(1994).

Let f :R to R be a function, such that |f(x)|le x ^(4n), n in N AA n in R then f (x) is:

Let f be a function from the set of positive integers to the set of real number such that f(1)=1 and sum_(r=1)^(n)rf(r)=n(n+1)f(n), forall n ge 2 the value of 2126 f(1063) is ………….. .

Let f:Ivec I be a function (I is set of integers ) such that f(0)=1,f(f(n)=f(f(n+2)+2)=n then f(3)=0 b.f(2)=0 c.f(3)=-2 d.f is many one function

If a function F is such that F(0)=2 , F(1)=3 , F(n+2)=2F(n)-F(n+1) for n ge 0 , then F(5) is equal to

Let f(x) be a real valued function not identically zero such that f(x+y^(2n+1))=f(x)+(f(y))^(2n+1), n epsilon N and x, y epsilo R . If f'(0)ge0 , then f'(6) is

Let f(x)=lim_(nto oo) 1/n((x+1/n)^(2)+(x+2/n)^(2)+……….+(x+(n-1)/n)^(2)) Then the minimum value of f(x) is

MOTION-CONTINUITY -EXERCISE -2 (LEVEL -II) IDENTIFYING UNKNOWN CONSTANT USING THE CONCEPT OF CONTINUITY
  1. Let f be a continuous function on R such that f (1/(4n))=sin e^n/(e^...

    Text Solution

    |