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Question 1: Evaluate the integral: [ int (2x^2 - 3x + 5) , dx ] Question 2: Determine the convergence or divergence of the improper
Question 1:
Evaluate the integral:
\[ \int (2x^2 - 3x + 5) \, dx \]
Question 2:
Determine the convergence or divergence of the improper integral:
\[ \int_1^\infty \frac{1}{x^2} \, dx \]
Question 3:
Find the Taylor series expansion of the function \( f(x) = e^x \) centered at \( a = 0 \).
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