Calculate the following limits using the factorization formula x" - a" = 1x - a21x"-1 + ax"-2 + a?x"-3 + . .. + a"-2x + a"-12, where n is a positive integer and a is a real number. x" - a" lim xSa х — а for any positive integer n

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: Evaluate the limit x2 + 13x + 36 lim I +9

A:

Q: find lim (2 x3 - 3 x + 5) X --> -1 O 6 O none of these answers O 4

A:

Q: 3. Find lim x-2 x - √5x + 6 x-6

A: The limit is given by limx→2x-5x+6x-6 To evaluate: The value of the limit.

Q: 28x2 + 949x – 2124 а. lim x→-36 37x² + 1380x + 1728

A:

Q: 2x – -12x + 40 3x2 + x – 14 14) lím エ→2

A: We will find the value of the limit as following.

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: 4x2 - lim 3x +2 1 - 2

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Q: х+10 е. lim X2- x - 2

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Q: [a] find limg00 a+[b] *

A:

Q: a) Evaluate V9x(x² – 3x +2) lim (3х — 3)

A: To find the limit:

Q: 3-x2 b. lim x→00 2x2+1

A: