1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = –3 4. lim f(x) = +o, 3. lim f(x) = -2, lim f(x) = 2 and f(2) = 0 x+2- lim f(x) = x-3+ = -00 x-2+

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A: By limit defination of f'(x) at point x= a

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A: Introduction: If a function f(x,y) of two variables x and y, is continuous at the point (a,b), if…

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A: Solution :-

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A: Please refer to the image below. 9

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Q: Evaluate the following: -1 x-1(x+1) xả-5x-20 x-5 x²-4x-5' x-5 lim x-5x²-10x+25² i. lim ii. lim iii.

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

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A: Given:      limx→0+1x-1sinx simplifying we get     =limx→0+sinx-xxsinx Apply L'Hospital's Rule:…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A B C D lim /(x) = 0 x+2+ lim f(x) = 2 x →-2+ lim /(x) = 0 x+2- lim f(x) = -3 x--2 -5-4-3-2-1 Y -3-…

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A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

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A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

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A: That's easy. Thumb up. Have a good day!!!

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Q: If lim x→0 f(x) + x + 1 x sin (3x) = -5, then lim x→0 f(x) + x + 1 x² is equal to

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