for x > 0 Let f x and evaluate the following limit: x- 2 for x < 0 X - lim f( x O A) -2 B) 0 O C) -1 D) Does not exist

Q: -3(4x + 3)+ 4(6x+1) = 43 %3D

A:

Q: Vx + 2 – 2 Evaluate the limit lim x→2 x2 – 4

A: We can evaluate the limit in the following steps.

Q: Evaluate the limit lim sec 10

A: Please refer to the image below

Q: 2X + 3. lim x→2 X –3 f(x) f(x)

A: Given function f(x)=2x+1x-3we can can find the values around 2 to find the limit at x=2

Q: т? — Ох — 16 - - Evaluate the limit: lim x →4 x – 4

A: We need to evaluate the limit limx→4x2-0x-16x-4 Which is equivalent limx→4x2-16x-4…

Q: values

A: We will find the limits.

Q: 3x + 5x – 12 Jx +1-1 e) lim f) lim X+3

A: limit values=?

Q: Evaluate the limit: -V4+x² lim X→0- x2

A: limx→0--4+x2x2

Q: x2 – 4, x 3 -

A:

Q: Let 16x-5 1x² +5 Enter the exact value of the one-sided limit lim f(x) 3-2 f(x) = if x ≤ 2 if x > 2

A:

Q: Find the limits lim (Vr? + 25 – V² – 1) - X00

A: limx→∞ x2+25-x2-1Multiply by conjugates, we get =limx→∞ 26x2+25+x2-1limx→ac·fx=c·limx→afx=26·limx→∞…

Q: a3 + 3x? Question 3. Evaluate the following limit: lim x-3- x2 – x – 12

A:

Q: Find the limits of the following functions: a) lim 2x + |x – 3| x→3 Vx2+9–5 b) lim x→-4 x+4

A:

Q: x² - 10x x-0 9x²-x (d) lim

A: Given query is to find the limit of the expression.

Q: Find the horizontal limit(s) of the follov

A: Solution of the problem as follows

Q: Find the limits lim (Vr + x - V – x) X00

A: Given: Let y=limx→∞x2+x-x2-x To Find: To evaluate the given limit.

Q: csc²a = acote

A:

Q: Determine whether the limit lim Vx² +1– Vx+1 exists. Please explain your answer.

A:

Q: x²-4 lim x-2 (x-2)² 2–4

A:

Q: x2-1 5.) lim x-1x2-3x+2

A:

Q: (x +h)² – x² lim h 3 (4+x)

A: See the details solution in below

Q: Evaluating the following limits: Vx+5-V5 a. lim x-0 2x b. lim x-2 x-2 X+1 3 c. lim 3x cot(2x)…

A: Limit of the indeterminate forms

Q: x² 10 - 5 ≤ f(x) ≤ x6-5 x+1 26

A: