Question: differentiable off (-00, 00). 3. (10%) Let A > 0 be a constant. 1 (a) Evaluate (i) 13 + Ax dx, and (ii) In(x +

differentiable off (-00, 00). 3. (10%) Let A > 0 be a constant. 1 (a) Evaluate (i) 13 + Ax dx, and (ii) In(x + A) dx. (b) Let F be a function on (0, co) such that its derivative F(x) satisfies ( + = ) F' (2 ) - = 0. 2 2 Show that lim F(x) exists and the limit value does not depend on A. -+00

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