Which of the following statement(s) is TRUE? 1. lim,0 = 1. x2 V1-x? II. lim,→1 does not exist. 2а —1 III. lim→1 2–1 -x- 2

Q: 2(x-1)* - y² Lex-1)* +2y (d) Show lim does not exist.

A: Limit exist

Q: 6. lim t+0o e3t + 4t

A: Given: limt→∞t2e3t+4t To determine: The value of the given limit.

Q: C. Evaluate the following: i(z³+1³) 1. lim 24-1 2²+1

A: Given limit: limz→-iiz3+i3z2+1 L'Hospital rule: If limx→cfx=limx→cgx=0 or ±∞, g'x≠0 for all x in I…

Q: 1 (a²- a→1 (a²-4a+3)3 (а?+4а-5)2 4. Evaluate: lim

A:

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

A: Given: limt→1t2+t-2t2-1

Q: lim. Vx-1 х2-4) п-20+ \x2-4

A: To find the Value of

Q: 7х + 12 lim x→3 х — 3

A:

Q: What is the value of x² – 9x + 20, lim r→4 x² + 2x

A:

Q: 2+49 –7 5. lim x→0 x2

A:

Q: What is the limx→5 5x + 2? 3 5 1 27 1 3

A: To evaluate: limx→5 5x+23 Let y = limx→5 5x+23 y = limx→5 5x+213

Q: z²+3 lim- %3D iz Z-2 7i0 7 14 O

A: Given that limz→2 z2+3iz  We need to find the limit of the given question. The solution to the given…

Q: √h+6-h 5) lim h-5h³-3h²

A:

Q: 29. lim (25t2 + 2 – 5t)

A: Given:          limt→∞25t2+2-5t Rationalize the expression…

Q: 19. Evaluate lim (x³ + 2x2 – 3x – 4). x-1

A: Evaluate limx→-1(x3+2x2-3x-4)

Q: Зх + 5 3 lim V 6х — 8

A:

Q: - 1 32. lim 12-12 +3) ² +3. A 1 -1 D -4

A: We will solve this limit equation using L'hospital method.

Q: V3+h -V3 Evaluate lim h→0 2.

A:

Q: V25+x –5 -limx→o

A:

Q: 3x+x Q2) Evaluate limy+o 2-8

A:

Q: 3xh-2x2h2+h³ limn→0 limp. h ||

A:

Q: 2-y lim 7+ 6y² y-

A:

Q: y² + 5y + 6 lim ソ→2 y + 2

A:

Q: ソ→0

A:

Q: り Lar Po-S 2x45 fo) =S 2x45 XくO 3-5x 1+4X+x3 find (0) lim fox) (6) lim fa) メー→+0 X -00

A: To find the limits of the given function f(x)

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

A:

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

A:

Q: Evaluate lim-5VE+4 t-1 t2-1

A: We can make it easier for you

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

A: Explanation of the answer is as follows

Q: 12 + 31 + 2 28. lim P-1 ² – t – 2

A:

Q: 2 lem -9 ズ→ス x-4

A: