Derive formula for quotient rule of differentiation

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1. Prove that ∀ a∈N, ∀b∈N, ∀c∈N, a≡n b→ca ≡n cb

2. Find lim(x→ ∞)(x + 3√(1 - x3 ))

3. Prove by mathematical induction that any integer amount of 18 dollars or higher can be expressed as a combination of 3 dollar and 10 dollar bills.

4. Prove quotient rule of limits.

5. Prove ∑(i=1)n i.2i = (n-1)2(n+1) + 2

6. Derive formula for quotient rule of differentiation.

Reference no: EM131573385

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