Questions from General Calculus

Q: Find the limit. limx→∞ cos x

Find the limit. limx→∞ cos x

Q: Find the limit. limx→∞ sin2x/x2

Find the limit. limx→∞ sin2x/x2

Q: Find the limit. limx→∞ (e-2x cos

Find the limit. limx→∞ (e-2x cos x)

Q: Find the limit. limx→∞ e3x – e-3x

Find the limit. limx→∞ e3x – e-3x/ e3x + e-3x

Q: Find the limit. limx→-∞ (x4 + x5)

Find the limit. limx→-∞ (x4 + x5)

Q: Find the limit. limx→(π/2)+ etanx

Find the limit. limx→(π/2)+ etanx

Q: Find the limit. limx→∞ x + x3 + x5

Find the limit. limx→∞ x + x3 + x5/1 – x2 + x4

Q: (a). Graph the function f (x) = √

(a). Graph the function f (x) = √2x2 + 1/3x - 5 How many horizontal and vertical asymptotes do you observe? Use the graph to estimate the values of the limits lim (b). By calculati...

Q: Find the horizontal and vertical asymptotes of each curve. If you

Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, check your work by graphing the curve and estimating the asymptotes.

Q: Guess the value of the limit x→∞ x2/2x by

Guess the value of the limit x→∞ x2/2x by evaluating the function f (x) = x2/2x for x = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 50, and 100. Then use a graph of f to support your guess.