Examine the limits below and justify why they exist or not: lim f(x) = 4  and          lim f(x) = −4                      x→3−                                   x→3+   lim f(x) = -5  and          lim f(x) = -5                          x→2−                                   x→2+

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

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Q: Use the given graph to: + + + -4, -3 -2 4 3 0 1 2 3 4 X Find lim f(x). X→

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Q: lim f(x) vs f(-3) а. x--3 b. lim f(x) vs f(-1) x--1 c. lim f(x) vs f(1) X-1 d. lim f(x) vs f(3) X-3…

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Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

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Q: If 3x – 1 0, find lim f(x). X→3

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A:

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Q: lim (x,y) →(0,0) 5x4 y x² + y²

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Q: Find the value of lim f(x), if x→5+ S7x + 5 Зх + 4 f(x) = x 5 O 12 O 7 O 19 O 35 O 34

A: This question is related to limit .

Q: limits

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A:

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Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

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Q: lim(-3x² – 1) x-3

A: Solution: