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- If f(x)={(1-cos(1-cos x/2))/(2^m x^n)1x=0,x!=0 and f(0)=1 is continuou...
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- Find the set of points where the following functions are discontinuous...
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- If t(1+x^(2))=x and x^(2)+t^(2)=y then at x = 2, the value of (dy)/(dx...
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- A function f: RvecR is defined as f(x)=(lim)(nvecoo)(a x^2+b x+c+e^(n ...
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- If x+y=3e^2t h e d/(dx)(x^y)=0forx= e^2 b. e^e c. e d. 2e^2
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- xy=( x+y )^n and dy/dx = y/x then n= 1 b. 2 c. 3 d. 4
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- If f(x)={(sin(pi/2)(x-[x]),x<5),(5(b-1),x=5),((a b^2|x^2-11 x+24|)/(x-...
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- If f(x)={(2cos x -sin2x)/((pi-2x)^2),xlt=pi/2(e^(-cotx)-1)/(8x-4pi),x ...
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- Let f(x)={8^(1/x),x<0a[x],a in R-{0},xgeq0, (where [.] denotes the gr...
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- let f(x)=x^3-x^2-3x-1 , g(x)=(x+1)aand h(x)=f(x)/g(x) where h is a rat...
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- For which of the following functions f(0) exists such that f(x) is con...
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- Determine the values of a so that the funtion is continuous at x=1. f...
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- Let f: R->R be any function. Also g: R->R is defined by g(x)=|f(x)| fo...
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- Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-...
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- The function f:R→R satisfies f(x^2 ).f ′′ (x)=f ′ (x).f ′ (x^...
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- The second derivative of a single valued function parametrically re...
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- If lim(x→0) (x^asin^b x)/(sin(x^c)), where a , b , c in ...
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- (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2)...
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- If f(1)=3,f^(prime)(1)=2,f ^(' ')(1)=4,t h e n(f^(-1))^(' ')(3)= a. 1...
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- If (a+bx)e^(y/x)=x , Prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2
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