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BITSAT Limits PYQs with Solutions

24 previous year questions from Limits (BITSAT Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

24 questionsMathematics2009–2024Answers + solutions

About Limits PYQs

Limits has 24 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 24 questions in this list come from BITSAT (24), spanning 2009 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

BITSAT Limits PYQs with Solutions

About Limits PYQs

Questions by year (this list)

Limits questions with solutions

Given a real valued function ' f ' such that f(x)=\ array cc ^2\ x\ x^2-[x]^2 & for x>0 1 & for x=0 \ x\ \ x\ & for x < 0 array . then

Let f(x)= x, g(x)= x, h(x)=x^2 then _ x arrow 1 (f(g(h(x)))-f(g(h(1))))/(x-1)=

If f(x)=\ array l x^2-1,0 < x < 2 2 x+3,2 ≤ x < 3 array . , then the quadratic equation whose roots are _ x arrow 2^ - f(x) and _ x arrow 2^ + f(x) is

_ x arrow 0 (| x|)/(x) is equal to

The value of _ x arrow 0 (1- (1- x))/(x^4) is

The value of _ x arrow 0 (1+x)^ (1)/(x) -e+(1)/(2) e x x^2 is

Value of _ x arrow 0 a^ x -1 x is

_ x arrow 0 2 ^ 2 3 x x^ 2 is equal to

_ x arrow 0 x- x x+ ^ 2 x is equal to

The value of _ x → (3π)/(4) 4 ^ 2 xcosx - cosx + sinx sinx + cosx is

The value of a , so that _ x → 0 (1)/(x2)(e^ ax - e^ x - x) = (3)/(2) ,& is

_ n → ∞ sin [π n^ 2 + 1 ] is equal to

If _ n → ∞ (an - 1 + n^ 2 1 + n ) = b , where a is finite number, then

_ n arrow ∞ a^ n +b^ n a^ n -b^ n , where a > b > 1, is equal to

_ x arrow ∞ ∫_ 0 ^ 2 x x e^ x^ 2 d x e^ 4 x^ 2 equals

If _ x arrow x ((1)/(x))=A and _ x arrow 0 x ((1)/(x))=B , then which one of the following is correct?

_ x arrow 0 (cosec x)^ 1 / x is equal to :

Let f(x)= (x^ 5 -1)(x^ 3 +1), g(x)= (x^ 2 -1)(x^ 2 -x+1) and let h(x) be such that f(x)=g(x) h(x). Then limh_ x → 1 h(x) is

If f(x)=\ array cl x^ 2 +3 x-10 x^ 2 +2 x-15 & , when x ≠-5 a , & when x=-5 array . is continuous at x=-5 , then the value of 'a' will be

_ x arrow π / 2 (1- ((x)/(2)))(1- x) (1+ ((x)/(2)))(π-2 x)^ 3 =?

Evaluate \( _ x arrow ∞ 1+ 3 x -1 (1+ 2 x) \);

Find the equation of chord of the circle \(x²+y²=8 x\) bisected at the point \((4,3)\)

The minimum value of \( (x^4+y^4+z^2)/(x y z) \) for positive real number \(x, y, z\) is

Two tangents \(P Q\) and \(P R\) drawn to the circle \(x²+y²-2 x-4 y-20=0\) from point \(P(16,7)\). Ifthe centre of the circle is \(C\) then the area of quadrilateral \( PQCR \) is

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