Math  /  Calculus

QuestionDetermine whether the following integral is convergent or divergent. If the integral is convergent, find its value. Write the exact answer. Do not round. If it is divergent, write DIV for your answer. 029exxdx\int_{0}^{\infty} \frac{29 e^{x}}{x} d x

Studdy Solution
Determine if the integral is convergent or divergent.
Since the integrand 29exx \frac{29 e^x}{x} grows exponentially as x x \to \infty , the integral 029exxdx \int_{0}^{\infty} \frac{29 e^{x}}{x} \, dx diverges because the area under the curve becomes infinitely large.
Since the integral is divergent, the answer is DIV\text{DIV}.

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