Use the precise definition of a limit to prove the following limits. Specify a relationship between e and d that guarantees the limit exists. lim 1-2x + 82 = 2 xS3

Q: x²+3x+2 6. limx0 2x2-1 2+3x 7. limx-00 бх-1 2x2-1 8. limx0 7+3x+5

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Determine the following limits. ? lim xS0 4x2 6x V16x* 16x* + + + x*

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Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: lim x+0 V1 + 3x – 1

A: SOLUTION-

Q: Evaluate the limit. lim I->0 V1+ 7x -1

A: Using limit,

Q: Find the limitsof: lim 34 メ+34 -V34 メしe

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Q: lim x-6 x-4 |7-x| lim x-7 7-x 10 sin x lim x-0 6x

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Q: Find the limit, if it exists. Find: lim X--4 O-8 16 8 -24 x² - 16 X+

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Q: Determine the limit: 14x – 52 13 - x lim X- 13-

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Q: Evaluate Hhe following Limit lim 43+2)2-9n-18 n3-9K

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Q: lim x→∞ 524+45 x¹ x¹ - x² + 5

A: