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lim(x→0) [sinxlog(1+x)/x2] ...
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lim(x→1) (x3-1) * lim(x→1) 1/(x2-1) ...
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lim(x→0)(x2+x+3)*lim(x→0)(x3+4x2+2x+4) ...
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lim(x→∞)[√x+2 +1/√x+3 - √x-1 ] ...
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lim(x→0)cosecx -lim(x→0)cotx ...
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lim(x→0) (3+1/x+1/x2+x)-lim(x→0) (1+1/x+1/x2) ...
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lim(x→0) [sinx+xcosx]/x ...
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lim(x→∞)[(x3+2x2+x+1)/(2x3+3x2+x+2)+(3x2+4x+6)/(2x2+5x+7)] ...
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lim(x→∞) √(2x+1) -lim(x→∞) √(2x-1) ...
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lim(x→∞) (1-x2)/(1+x) +lim(x→∞) (1+x2)/(1+x) ...
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lim(x→∞) [(x-1)/(x+1)+(x2+x+1)/(x2-x+1)] ...
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lim(x→∞) [1/(x+1)+x/(x-1)] ...
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lim(x→0) x[x] where [x] is greatest integer function ...
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lim(x→0) cos(1/x) ...
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lim(x→0) (ex-1)/x ...
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lim(x→∞) (x+1)/x ...
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lim(x→4) (√x-2)/(x-4) ...
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lim(x→0) |x|/x ...
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lim(x→1) x2+3x+1 ...
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lim(x→2) (x2-4)/(x-2) ...
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find dy/dx, where y=sinx-cosx ...
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find dy/dx, where y=xlogx ...
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find dy/dx, where y=sintan√x ...
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find dy/dx, where y=sintanx ...
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find dy/dx, where y=ex/(1+x) ...
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find dy/dx, where y=tan-1√x ...
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find dy/dx, where y=logsinx2 ...
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find the derivative of f(x)=sinx2 ...
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find the derivative of f(x)=√x ...
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find the derivative of |ex| at origin ...