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AI Gen: Calculus - Limits and Continuity question bank (Mathematics)

Practice 45 free JEE Advanced Mathematics - AI Gen: Calculus - Limits and Continuity questions with answers and step-by-step solutions.

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Q1.

If L = limit as x approaches 0 of (x * ln(1 + tan(x))) / (1 - cos(x)), then the value of L/2 is:

Topic: Calculus - Limits and Continuity | Source: AI Generated (JEE Advanced)

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

Let f(x) be a continuous function on R such that f(x) + f(x + pi/2) = sin(x) for all x. The value of integral from 0 to pi of f(x) dx is:

Topic: Calculus - Limits and Continuity | Source: AI Generated (JEE Advanced)

(A)
1
(B)
2
(C)
0
(D)
pi/2
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