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ML KHANNA-LIMITS, CONTINUITY AND DIFFERENTIABILITY -PROBLEM SET (2) (MULTIPLE CHOICE QUESTIONS)
- Let f(x) = {{:(int(0)^(x) {5+|1-t|dt}, if x gt 2),(5x+1, if x le 2):},...
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- The value of lim(xto1^(+))(int(1)^(x)|t-1|dt)/(sin(x-1)) is
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- lim(x->a)(x)/(x-a)int(a)^(x)f(x)dx equals
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- If f(x) = {{:(x, x lt 0),(1, x=0),(x^(2), x gt a):}, then lim(x to 0) ...
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- If [x] denotes the greatest integer less than or equal to x,then the v...
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- Let f(x)={(x^2,x notin Z),((k(x^2-4))/(2-x),x notinZ):} Then, lim(xt...
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- If f(x)={:{(x,x le 1),(x^(2)+bx+c, x gt 1 and f'(x)) exists finitely f...
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- If f(x) is an odd function of x and "lt"(x to 0) f(x) exists then the...
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- Lt(x to 0)(e^(1//x)-1)/(e^(1//x)+1) is equal to:
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- lim(x to 0) (1+ sin x)^(1//x^(2)) is equal to:
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- lim(xto0)(sin[cosx])/(1+[cosx]), ([.] denotes the greatest integer fun...
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- The number of points at which the function f(x) = 1/(log|x|) is discon...
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- The function f(x) = (log(1+ax)-log(1-bx))/(x) is not defined at x = 0....
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- The value of f(0) so that the function f(x) = (log(1+x^(2) tanx)...
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- If the function: f(x) = {{:((x^(2)-(A+ 2)x+A)/(x-2), "for", x ne 2),...
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- If f(x) =(cos^(2) pix)/(e^(2x) - 2ex), x ne 1/2, the value of f(1/2), ...
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- The value of b for which the function f(x) = {{:(5x-4, 0 lt x le 1)...
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- if f(x) = {{:(x + lambda, -1 lt x lt 3),(4, x =3),(3x-5, x gt 3):}, is...
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- If the function f(x) = {{:((cos x)^(1//x), x ne 0),(=k, x =0):}, is co...
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- Let f(x) = {{:((x^(3) + x^(2) -16x +20)/(x-2)^(2), If x ne 2),(=k, If ...
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