Class 12

15. Limits, Continuity & Differentiability question bank (Maths)

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Q1.

\(\lim_{x \to \infty} \left( \sqrt{a^2x^2 + bx + x - ax} \right) =\)

(A)
\(\frac{b+1}{2a}\)
(B)
\(\frac{b}{a}\)
(C)
\(0\)
(D)
\(\frac{2b}{a}\)
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Q2.

If \(g(x)=\frac{x}{[x]}\) for \(x>2\) then \(\lim_{x \to 2^{+}} \frac{g(x)-g(2)}{x-2}=\)

(A)
\(-1\)
(B)
\(0\)
(C)
\(\frac{1}{2}\)
(D)
\(1\)
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