Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain why or give an example that disproves thestatement. If ∫a∞f(x) dx and ∫a∞ g(x) dx are both divergent,, then ∫a∞ [f(x)  + g(x)] dx  is divergent,.

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A: The linearization of f(x) at x=a is         L(x) =f(a)+f'(a)(x-a)

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A: Known fact: derivative of f-1x=1f' f-1x.

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Q: (c) Why can't the Fundamental Theorem of Calculus be used to calculate f' f(x) dx?

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A: I just used the chain rule and product rule for derivatives

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