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MTG-WBJEE-LIMITS AND CONTINUITY-WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : SINGLE OPTION CORRECT TYPE)
- The limit of [(1)/(x^(2))+((2)^(x))/(e^(x)-1)-(1)/(e^(x)-1)] as x rarr...
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- The limit of [(1)/(x)sqrt(1+x)-sqrt(1+(1)/(x^(2))]] as x rarr0
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- The limit of x sin (e^(-1//x)) as x rarr0
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- The limit of sum(n=1)^(1000)(-1)^(n)x^(n) as x rarroo
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- The function f(x)=(tan{pi[x-(pi)/(2)]})/(2+[x]^(2)), where [x] denotes...
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- LEt f(x) be a differentiable function and f'(4)=5. Then, lim(x->2)(f(4...
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- If lim(xrarr0)(2a sin x-sin 2x)/(tan^(3)x) exists and is equal to 1, t...
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- Let [x] denote the greatest integer less than or equal to x for any re...
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- If lim(xrarr0)(axe^(x)-b log(1+x))/(x^(2))=3, then the value of a and ...
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- Let f : R -> R be defined as f(x)={0, x is irrational sin|x|, x is ...
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- Let x(n)=(1-(1)/(3))^(2)(1-(1)/(6))^(2)(1-(1)/(10))^(2)…(1-(1)/((n(n+1...
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- Let [x] denote the greatest integer less than or equal to x. Then the ...
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- Let f:[-2, 2]rarrR be a continuous function such that f(x) assumes onl...
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- lim(x rarr 1)((1+x)/(2+x))^((1-sqrt(x))/(1-x))
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- the value of lim(n->oo) {sqrt(n+1)+sqrt(n+2)+...........+sqrt(2n-1)}/n...
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- If f''(x)=k,k != 0 , then the value of lim(x->0)(2f(x)-3f(2x)+f(4x))...
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- lim(xrarr0)(sinx)^(2tanx)
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- The value of lim(n->oo)[n/(n^2+1^2)+n/(n^2+2^2)++1/(2n)] is
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- f(x) = 3x^10 – 7x^8+ 5x^6 -21x^3 + 3x^2 –7, then is the value of lim(...
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- Let f:[a, b] rarrR be such that f is differentiable in (a, b), f is co...
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