Calculus

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Evaluatecal67.docx

7.

Evaluate limit as x rightwards arrow 0 of fraction numerator x squared over denominator e to the power of x minus x minus 1 end fractionby applying L'Hôpital's rule.

6.

In a shop, the revenue and the cost of a product are determined by R left parenthesis x right parenthesis equals 22 x and C left parenthesis x right parenthesis equals 2 x squared plus 2 x plus 1, respectively. If xrepresents the number of products, how many products should the shop sell to maximize the profit?