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7. Prove that 7. Prove that
Exercise Prove that Exercise Prove that
1) Prove 1) Prove
prove diverges prove diverges
Prove that the following premise 4. Prove the following: (a) Prove that n is even if and only if n2 6n+5 is odd. (b) Prove that if 2n2 +3n +1 is even, then n is odd.
Prove that
Prove that if
Prove
prove this
Prove:$$ \int_{0}^{1} e^{x} \sqrt{2 x+1}\left(1+x+x^{2}\right)^{100} d x \leq \sqrt{\frac{\left(e^{2}-1\right)\left(3^{201}-1\right)}{402}} $$You may not use any integral computation tools such as Wolfram Alpha for this question. HINT: Think about inner products.