Apply theorem of limits to evaluate the following (a) $lim_{x o 2} (3x^2 - 5x + 4)$ (b) $lim_{x o 1} frac{x^2 - 1}{1 - x}$ (c) $lim_{x o 1} frac{x - 1}{sqrt{x} - 1}$ (d) $lim_{x o infty} frac{(5x - 7)}{(4x + 3)}$ (e) $lim_{h o 0} frac{(4 + h)^2 - 16}{h}$ (f) $lim_{y o 2} frac{sqrt{y + 2} - 2}{y - 2}$ (g) $lim_{x o 3} frac{x^2 - 9}{sqrt{x^2 + 7} - 4}$
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(a) $\lim_{x \to 1} (3x^2 + 5x + 4)$ By the theorem of limits, we can evaluate this limit by plugging in $x=1$: $\lim_{x \to 1} (3x^2 + 5x + 4) = 3(1)^2 + 5(1) + 4 = 3 + 5 + 4 = 12$ Show more…
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