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A DAS GUPTA-Continuity, Differentiability and Graph of Function-Exercise
- Let f(x) = {{:(x^(2)/2", "0 lexlt1),(2x^(2)-3x+3...
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- Draw the graph of the function and discuss the continuity and differen...
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- Given the function f(x) = 1/( 1-x) , The points of discontinuity of th...
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- If f(x)={:{(ax^(2)-b", for " 0 le x lt1),(2", for " x=1),(x+1", for " ...
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- If f(x)={(((1-sin^(3)x))/(3cos^(2)x)",",x lt (pi)/(2)),(a",",x=(pi)/(2...
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- Let f(x)=( x^2+3x-10)/(x-2), x=!2. The value f(2) = will make the fun...
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- If f(x) is continuous in [0,1] and f(1/2)=1. prove that lim(n->oo)f((...
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- If f(x) =(sin (e^(x-2)-))/(log(x-1)) then lim(xto2)f(x) is given by
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- If f(x)={((sqrt(1+px)-sqrt(1-px))/(x) ",", -1 le x lt 0),((2x+1)/(x-2...
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- The function f(x) = (log(1+ax)-log(1-bx))/x is not difined at x = 0. ...
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- The function f(x)={{:(|x-3|",", x ge1),(((x^(2))/(4))-((3x)/(2))+(13)/...
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- The range of the function f(x)=(tan(pi[x+1]))/(x^(4)+1) (where, [.] is...
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- The function f(x)=1+|sin x|, is
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- If x+ |y|=2 y, then y as a function of x is
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- The graph of the function, cos x cos (x +2) -cos^2 (x+1) is
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- यदि f(x)=x[sqrt(x)-sqrt((x+1))] हो तो-
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- Let f(x)=lim(ntooo)(1-x^n)/(1+x^n). Then
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- If both f(x) and g(x) are non-differentiable at x=a then f(x)+g(x) may...
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- The function f defined by f(x) =[2x^2+3 for x leq 1 and 3x+2 for x lt...
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- If ("lim")(xveca)[f(x)g(x)] exists, then both ("lim")(xveca)f(x)a n d(...
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