Recently Active Calculus Questions

lim x->∞ {11/sin2x + 21/sin2x + .... + n1/sin2x} sin2x ?????? ...

f(x)= [sinx + cosx] [.]=box function... how many points of discontinuities when x belongs to (0, 2 pi) .. ?? me getting 5... nyone verify.... ...

I= 0∫3 ([x] +[x+1/3] +[x+2/3]) dx ...

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a function f:R→R f(x)=(px2 +6x-8)/(p+6x-8x2) Find the integral values of p for which the given function is onto . ...

I read this question somewhere and thought it was a good one......posting here to test eveyone's intelligence *Image* *Image* ...

for what value of 'k' does the function y=x3 - 3(7 - k)x2 -3(9-k2)x + 2 , x>0 have a point of maximum ...

Find the area given by |x+y|<5 |x+y|>3 ...

ltx→0 cos(sinx)-cosx/(1-e^x2)2 ...

if x+3 for x<=-3 f(x) = 2x-3 for x>3 find f(|x|) + |f(x)| ...

let R be a rectangle of length 2 and breadth 1.Consider ny quadrilateral which has one vertex on each side of R. a,b,c, and d denote the lengths of the sides of the quadrilateral.. the value of 't' satisfying a2+b2+c2 ...

If y2=P(x) is a polynomial of degree 3 then 2d/dx{y3d2y/dx2} =? ...

If f(x)=(sin3x+Asin2x+Bsinx)/x5. when x is not equal to 0. Find A and B given that the function is continuous at x=0 and also find f(0)! ...

a)Let f(x+y)=f(x)+f(y) for all x and y and if the function is continuous at x=0, then show that the function is continuous at all x. b)If f(x.y)=f(x).f(y) for all x and the function is continuous at x=1. Prove ...

Let f(x)=lim (x2n - 1)/(x2n +1) , then n→∞ a) f(x) = 1 for /x/ >1 b) f(x) = -1 for /x/<1 c) f(x) is not defined for any value of x d) f(x)=1 for /x/=1 ...

If f(x)=lim (sinx)2n,then f is n→∞ A) conti. at x=Π/2 B) disconti at x=Π/2 C)disconti at x=ΠD) none of these ...

Find no. of sol of 2x+3x+4x -5x=0 ...

Sketch cos2X+cosy=0 ...

Find number of roots::::: [sinx]=[cosx] ...

prove that for +ve values of x x2 > (1+x)[log(1+x)]2 ...

find x ( 3/5)x+ (4/5)x=1 ...

Find the range of f(x)=ln(1+x2/1+x+x2). is the ans [ln(2/3),ln(2)] ? ...

∫1/(sin^2x+sinx+1) itz sin square x +sinx+1 tryin cinc couple o dayz wa cod b substitn >>>>>>>> ...

let f(x) be a polynomial with integral co - efficients such that f(m) = f(n) = f(o) = f(p) = 2008 where m ≠n ≠o ≠p prove that there will exist no integer k such that f(k)=2010 ...

find the equation of tangents drawn to the curve y2 - 2x3 -4y + 8 from the point (1,2) ???? ...

graph of e^(1/sinx)..... ...

Solve for x 1/[x] + 1/[2x] = {x} + 1/3 [x] - greatest integer function {x} - fractional part of x ...

Find the solutions for x and y x + y=[x][y] [.] - stands for greatest integer function ...

The derivative of the fn y=sin-1[(2x)/(1+x2)] doesn't exist for a)all values of x satisfying |x|<1 b)x=1,-1 c)all values of x for which |x|>1 d)none ...

ltn→∞ {x} +{2x} +{3x} +.....+{nx}/ n2 {where x denotes the fractional part of x} ...