Let f be a real-valued function defined on the interval (0, ) by f(x) = _e x + _0^x 1 + t ,dt. Which of the following statement(s) is (are) true?

JEE Advanced Mathematics question

Let be a real-valued function defined on the interval by . Which of the following statement(s) is (are) true?

Answer: (B),(C)

The integrand is continuous, so exists and is continuous on .

- **(a), (b)** , so . A

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Question ID VK-110766