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AI Gen: Limits Continuity Differentiability question bank (Mathematics)

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Q1.

Evaluate the limit as x approaches 0 of (1 - cos(2x)) / (x^2).

Topic: Limits Continuity Differentiability | Source: AI Generated (JEE Main)

(A)
1
(B)
2
(C)
4
(D)
0
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Q2.

Find the value of k for which the function f(x) = (k cos x) / (pi - 2x) for x != pi/2 and 3 for x = pi/2 is continuous at x = pi/2.

Topic: Limits Continuity Differentiability | Source: AI Generated (JEE Main)

(A)
3
(B)
6
(C)
3/2
(D)
12
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