Evaluate: lim- A. 1 B. e C. 0 D. DNE E. ∞ →2+ [(x² − 4) (-2)]

Q: Vx- 3 - 3 6. Find lim x→12 X-12 %3D

A: Given limit is  Firstly, we will multiply both numerator and denominator by sqrt(x-3)+3

Q: lim x→0 5x² + 3x² + 1 X =

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Q: Find the constant a such that Va ax +4-2 lim

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Q: 1-3x limx-0 V5x2+2 Select one: О а. 5 -3 O b. 5 C. O d. 5 O e. none

A: Divide both numerator and denominator by x and use the limit

Q: Q.2.(a) Evaluate: t2+t-2 lime1 t2-1

A: Given: limt→1t2+t-2t2-1

Q: 2 lim y² - 7y + 12 3 y → 4 y - 64 1 48.

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Q: x² – 9x³ - Find Lim x0o 6x-+ 4x A. B. 0 D. Select.one: OD O C 3/2 8. C.

A: Evaluating the limit value

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: We have given a limit function;

Q: lim (412 + 8t – 5)3/2 t- 2.

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Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

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Q: y2. lim y²-4 y-4 y-2 ソー2 lim (x2 + 3x)

A: Limits Definition Let us consider a real-valued function “f” and the real number “a”, the limit is…

Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

A: To find the limit of an expression we have to write the expression in its simplest form and  we need…

Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

A: Given, limx→1x4-1x3-1. The objective is to evaluate the limit.   Apply the identity: x2-y2=x+yx-y…

Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

A: Factorize the term in the numerator and denominator and simplify the rational expression..

Q: Find:

A: Let the given limit be  y - y =limx→3 x2-x-6x-3y = limx→3 x2-3x+2x-6x-3y = limx→3 xx-3+2x-3x-3y =…

Q: De nty. lim Bx+5 6+X6-

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Q: 1 Evaluate: lim 1 + 4x 4 0 4 e O Ve O e4

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :   =…

Q: z+3 lim- %3D iz Z+2

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Q: 20x2 – 3x Calculate lim x→0 ° 3x5 – 4x2 +5

A: It is given that, limx→∞20x2-3x3x5-4x2+5.

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A:

Q: Evaluate lim x--7 1 4x+3 1 4x+8 +1+ Enter an exact answer. 25 1 20

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Q: Find the following: x/3 +9x/5 i. Lim X0 6x1/2 4x1/4

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Q: 3-√y y-9 9-y Q10. Evaluate lim

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Q: 3 -4x°+6x Evaluate lim, B-a? 4 2 8.

A: Explanation of the answer is as follows

Q: Solve the following expressiol Vx2 + 3 lim x→1 x² – 1

A: Here we have to solve,

Q: Find the following: x1/3 + 9x1/5 i. Lim х-0 6х1/2 — 4х1/4 ii. Lim х+5+ (2х — 1)1/2 — 3 х — 5

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Q: 2 - Find L z-2Z+4 -im. Z-1-31

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Q: Find lim 1 2/3 X 2 (x-4)2/3 as

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