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(5) Compute the following limits lim r-1 Inx x-1 and lim x. x-0+ [10 marks] (6) Evaluate the following integrals cot (In x) dx; 2-

(5) Compute the following limits lim r-1 Inx x-1 and lim x. x-0+ [10 marks] (6) Evaluate the following integrals cot (In x) dx; 2- tanh 21-Idx, where tanh is the hyperbolic tangent function with tanh(x) = sinh x cosh x [10 marks]

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