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NDA PREVIOUS YEARS-FUNCTIONS, LIMIT, CONTINUITY AND DIFFERENTIABILITY-MCQs
- If lim(x to a) [(f(x))/(g(x))] exists, then which one of the following...
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- If f(x)=[{:(mx+1,if x le (pi)/(2)),(sinx+n,ifxgt(pi)/(2)):} is contin...
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- The above curve shows the graph of a^(x) under which one of the follow...
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- If f(x)=log((1+x)/(1-x)), "then f "((2x)/(1+x^(2))) is equal to
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- If f(x)=(x+1)^(cotx) is continuous at x=0, then what is f(0) equal to?
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- What is the value of lim(xtooo) ((x-2)/(x+2))^(x+2) = ?
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- If the derivative of the function f(x) ={ax^2+b , x lt -1 and bx^2 ...
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- If f(x) is differentiable everywhere, then which one of the following ...
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- Consider the cubic equation x^3 + ax^2 + bx + c = 0, where a, b, c are...
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- If (x-a)/(b+c)+(x-b)/(c+a)+(x-c)/(a+b)=3 then value of x is
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- If -x^(2)+3x+4gt0, then which one of the following is correct?
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- Given f(x)=x+(1)/(x), then what is f^(2)(x) equal ot ?
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- If f(x)={{:(1,x" is a rational number"),(0",","x is an irrational numb...
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- A function f is defined as follows f(x)=x^(p)cos((1)/(x)),xne0 f(0...
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- What is the value of lim(xto0) (sinx)/(x)?
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- What is lim(xto0)(a^(x)-b^(x))/(x)?
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- Let f(x)={{:(3x-4",",0lexle2),(2x+l",",2ltxle9):} If is continuous a...
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- If f(x)=xandg(x)=|x|, then what is (f+g)(x) equal to ?
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- If g(x)=sinx,x""inRandf(x)=(1)/(sinx),x"in(0,(pi)/(2)) what is (gof)(x...
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- Let f:RtoR be defined as f(x)=sin(|x|) Which one of the following is...
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