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- Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) lim x→0− (6+1/x)find the limit. lim x→∞ e-x (sin x)
- Find the limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four decimal places.) lim x→7+ ln(x − 7)Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim x→1 sin(x − 1) x3 + 4x − 5Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→0 3x2 − 2x x