Show that limx- 3x2 - 2x - 52x2 - 5x - 1 - 52

Let L=lim _ x→ 3 x ^ 2 +2x 5 2 x ^ 2 5x+1 #160; This is not an indeterminate formTherefore, L= (3) ^ 2 +2(3) 5 2 (3) ^ 2 5(3)+1 ⇒ L= 10 ...

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Summation by Sigma Method

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Question

Show that ${lim}_{x \to 3} \frac{x^{2} + 2 x - 5}{2 x^{2} - 5 x + 1} = \frac{5}{2}$

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l i m x \to \infty {(\frac{2 x^{2} + 3 x - 5}{3 x^{2} - 4 x + 1})}^{x + 1}

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lim x \to 1 [\frac{x^{2} + 1}{x + 100}]

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lim x \to 2 [\frac{x^{3} - 4 x^{2} + 4 x}{x^{2} - 4}]

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lim x \to 2 [\frac{x^{3} - 2 x^{2}}{x^{2} - 5 x + 6}]

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