October 2018 1 35 Report

1a) \lim_{n \to \infty} (\frac{n}{n+1})^{n+3}

2a)\lim_{n \to \infty} \sqrt{x^{2}-1} - \sqrt{x^{2}-x}

1b)\lim_{n \to \infty}(\frac{n+3}{n})^{2n+1}

2b)\lim_{n \to \infty} \sqrt{x^{2}-2} - \sqrt{x^{2}-2x}

1c)\lim_{n \to 0} (\frac{2n+3}{2n})^{n^{2}+2n}

2c)\lim_{n \to \infty} \sqrt{x^{2}-3} - \sqrt{x^{2}-3x}


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