Calculate the following limit: -5•x3 + 22· x² -6•x lim X +0 7.x2 – 35 · x

Q: Evaluate lim h→0 1 2 3(x+h) ² h 1 3x²

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Q: Find the following: x/3 + 9x/5 i. Lim X 06x1/2- 4x1/4

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Q: a. Lim x2 + X - 2 X→1 2x2 - x – 1

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Q: 1-х? а.) lim (x– 1)? Зх-10х3 b.) lim 5x - 7x? +1

A: (a) Given information: limx→1-1-x2x-12 To determine the limits first simplify,…

Q: EVALUATE : 1-COS2(X - 2) LIM X-2 X - 2

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Q: C. In5 x ,2 X limx→+⁰

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Q: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

Q: Find the limit

A: Given: limx→∞2x2+53x2+1

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

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Q: Evaluate the following. 1. lim (2x – 11) x-4 x+4 2. lim x-2 l(x-1)(x+2),

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Q: Evaluate lim (e – 2x) -

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Q: 3. Prove lim 3x-7= 2 X-3

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Q: Investigate lim x 2 . x ➔4

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Q: Evaluate lim x-0 √2x +36-6 X . Enter an exact value.

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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.