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PROBLEM 6. For a function f: R R, f(x) = xe-5x: [3p] find the right-sided slant asymptote, [5p] examine the monotonicity and find local

PROBLEM 6. For a function f: R R, f(x) = xe-5x: [3p] find the right-sided slant asymptote, [5p] examine the monotonicity and find local extreme values, [2p] verify if it is injective.

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