Questions from General Calculus


Q: Evaluate the limit, if it exists. lim h →

Evaluate the limit, if it exists. lim h → 0 (2 + h)3 – 8 / h

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Q: Evaluate the limit, if it exists. lim x →

Evaluate the limit, if it exists. lim x → 2 x + 2 / x3 + 8

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Q: Evaluate the limit, if it exists. lim h →

Evaluate the limit, if it exists. lim h → 0 √1 + h - 1/h

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Q: Explain what it means to say that limx→1- =

Explain what it means to say that limx→1- = f (x) = 3 and limx→1+ = f (x) = 7 In this situation is it possible that limx→1 = f (x) = 5 exists? Explain.

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Q: Evaluate the limit, if it exists. lim x →

Evaluate the limit, if it exists. lim x → -1 x2 + 2x + 1/ x4 - 1

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Q: Evaluate the limit, if it exists. lim x →

Evaluate the limit, if it exists. lim x → 16 4 - √x / 16x – x2

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Q: Evaluate the limit, if it exists. lim t →

Evaluate the limit, if it exists. lim t → 0 (1/t – 1/t2 + t)

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Q: The point P (1, 0) lies on the curve

The point P (1, 0) lies on the curve y = sin (10π/x). (a). If Q is the point (x, sin (10π/x)), find the slope of the secant line PQ (correct to four decimal places) for x = 2, 1.5, 1.4, 1.3, 1.2, 1.1...

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Q: Evaluate the limit, if it exists. lim t →

Evaluate the limit, if it exists. lim t → 0 (1/t√1 + t – 1/t)

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Q: Evaluate the limit, if it exists. lim x →

Evaluate the limit, if it exists. lim x → -4 √x2 + 9 – 5/ x + 4

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