Popular Questions
- the function f:R--{0}-->R, f(x)=1/x- 2/e^2x-1 can be made continuous at x=0 by defining f(0) as
- let f(x)={(x-1)sin 1/x-1 if x not equal to 1 0 if x=1. then which one of the following is true
- let f:R-->R be a positive increasing function with lomX-->infinity f(3x)/f(x)=1 then, limX-->infinity f(2x)/f(x)
- The value of p and q for which the function f(x)={sin(p+1)x+sin X/x; x<0 q; x=0 root x+x^2- root x/x^3/2 ; x>0 is continuous for..
- in order that the function f(x)=(x+1)^cotX is continuous at x=0, f(0) must be defined as
- the composite mapping fog of the map f:R-->R, f(x)=sinX, g:R-->R, g(x)=x^2 is
- if f(x)=3x+10, g(x)=x^2-1, then (fog)^-1 is equal to
- limX-->infinity (x+3/x+1)^x+1 =
- if f(x)=x^2+1, then f^-1(17) and f^-1(-3) will be
- let f(x)={sinX, forX greater then equal to 0 1-cosX, for X less then equal to 0 and g(x)=e^x. then (gof)(0) is
- the function f(x)={x+2, 1 less then equal to X less then equal to 2, 4, x=2, 3x-2, x>2 is continuous at
- the domain of the function f(x)= 1/log10 (1-x) + root x+2 is
- if f(x)=sgn(x^3), then
- limX-->3 [x]=,(where[.]=greatest integer function)
- if g:[-2,2]-->R where g(x)= x^3 + tanX +[x^2+1/p] is a odd function then the value of parametric p is
- if f(x)={1-|x|/1+x, x not equal to -1, 1, x=-1, then the value of f[2x] will be (where [.] shows the greatest integer function)
- if f(x)={x^2-9/x-3, if x not equal to 3, 2x+k, is continuous at x=3, then otherwise k=
- 0 2f(x)-3f(2x)+f(4x)/x^2 is equal to"/>if f(x) is a Differentiable function and f"(0)=a, then limX-->0 2f(x)-3f(2x)+f(4x)/x^2 is equal to
- the value of f(0), so that the function f(x)= root a^2-ax+x^2 - root a^2+a-x+x^2/root a+x - root a-x becomes continuous for all x,..
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if f(x)={x, 0 less then equal to X less then equal to 1, 2x-1, 1
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if f(x)=cot^-1(3x-x^3/1-3x^2) and g(x)= cos^-1(1-x^2/1+x^2), then limX-->a f(x)-f(a)/g(x)-g(a), 0
- limX-->-2 sin-1(x+2)/x^2+2x is equal to
- the function defined by f(x)={(x^2 +e^1/2-x)^-1, x not equal to 2, k, x=2 , is continuous from right at the point x=2, then k is e..
- the function f(x)=1-sinX+cosX/1+sinX+cosX is not defined at x=pie. the value of f(pie), so that f(x) is continuous at x= pie, is
- if f(x)=sin^2 x and the composite function g{f(x)}=|sin x|,then the function g(x) is equal to
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if f(x)={x^2 -3,2
- The value of p for which the function f(x)={(4^x-1)^3}/sin x/p log [1+x^2/3],x is not equal to 0, may be continuous at x=0, 12(log..
- Let f(x)={1 where x<0 ,{1+sin x where 0<=x<=Ï€/2,then what is the value of f(x) at x=0
- Lim x tense to n(-1)^[x] is equal to
- the value of Lim x tense to π/2 (sin x)^ tan x is
- Let f(x) =[x^3 -3][x]=G.I.F. Then the no. of points in the interval (1,2) where function is discontinuous is
- Lim x tense to e (1n x)^ 1/1-1n x=
- f(x)={6x^5,x<0,{2a+x, x>0 is continuous at x=0,then a=
- Lim x tense to infinite cos x =
- if g(y) is inverse of function f:R ----> R given by f(x)=x+3, then g(y)=
- the number of points at which the function f(x)=|x-0.5|+|x-1|+ tan x does not have a derivative in the interval
- A={1,2,3,4},B={1,2,3,4,5,6} are two sets and function f:A is tense to B is defined by f(x)=x+2; where is x€A,then the functi..
- the domain of the function f(x)=under root cos^-1(1-|x|/2) is
- The value of Lim x tense to 0 sin^2x + cosx-1/x^2 is
- Lim x tense to 0 sin|x|/x is equal to
