-2-1 1 2 3 4 5 -2+

Q: Find the indicated limit given that lim f(x) = 5 and lim g(x) = 4. xa lim [2f(x) – 4g(x)]

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Q: Find the limit algebraically. ( f(-3 + h) – f(-3) lim h0 where f(x) = -3x2 + 2x + 9

A: Our objective is to find the limit algebraically.

Q: 7. Use the definition of the limit of a function to show that if lim f(x) = a and lim g(x) = b, x→x0…

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Q: Let f(x) = x3+x. Evaluate lim s→0 (f(x + s) − f(x))/s .

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Q: If 2x - 1 0, find lim f(x). X→2

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Q: Evaluate the limit 3(y²1) lim y 4 7y²(y-1)³

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Q: Evaluate the limit lim f(t) where ƒ(t) = = lim f(t) = i 00-11 00-11 (9+17) 2 for t = 0.

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Q: Explain, using limit definition, why f′(x) = 0 for any constant function f(x) = c.

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Q: Suppose f (x) -7x -3x - 8 Evaluate: lim f (x) x→5

A: This is question of limit and continuity Here we have to find limit of function at given value…

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: Assume that rs f(x) < 3r. Compute lim f (x)

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.