Questions from General Calculus


Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

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Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

See Answer

Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

See Answer

Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

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Q: Use a graph to estimate the value of the limit. Then

Use a graph to estimate the value of the limit. Then use l’Hospital’s Rule to find the exact value.

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Q: Use a graph to estimate the value of the limit. Then

Use a graph to estimate the value of the limit. Then use l’Hospital’s Rule to find the exact value.

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Q: Illustrate l’Hospital’s Rule by graphing both f (x)/g (

Illustrate l’Hospital’s Rule by graphing both f (x)/g (x) and f'(x)/ g'(x) near x = 0 to see that these ratios have the same limit as x→0. Also, c...

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Q: Find the points on the ellipse 4x2 + y2 = 4 that

Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0).

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Q: Illustrate l’Hospital’s Rule by graphing both f (x)/g (

Illustrate l’Hospital’s Rule by graphing both f (x)/g (x) and f'(x)/ g'(x) near x = 0 to see that these ratios have the same limit as x→0. Also, c...

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Q: Let v1 be the velocity of light in air and v2 the

Let v1 be the velocity of light in air and v2 the velocity of light in water. According to Fermat’s Principle, a ray of light will travel from a point A in the air to a point B in th...

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