29-37 Determine the infinite limit. 29. $\lim_{x \to -3^+} \frac{x+2}{x+3}$ 30. $\lim_{x \to -3^-} \frac{x+2}{x+3}$ 31. $\lim_{x \to 1^-} \frac{2-x}{(x-1)^2}$ 32. $\lim_{x \to 0} \frac{x-1}{x^2(x+2)}$ 33. $\lim_{x \to 2^-} \frac{x-1}{x^2(x+2)}$ 34. $\lim_{x \to \pi^-} \cot x$ 35. $\lim_{x \to 2\pi^-} x \csc x$ 36. $\lim_{x \to 2} \frac{x^2 - 2x}{x^2 - 4x + 4}$ 37. $\lim_{x \to 2} \frac{x^2 - 2x - 8}{x^2 - 5x + 6}$
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When x approaches 1 from the right side (xβ1+), the expression inside the square root becomes: 3(1)^2 + 4 = 3 + 4 = 7. Show moreβ¦
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