6- Given the function below -(x+1) ²+7 X<2 F(x) = x/2-6 2 ≤x≤6 -4 x26 a-Sketch the functipon b- Find the lim f(x) x->2

Q: Q3)Find the asymbtotes of the function f(x)= x-4

A: To find Aysmptotes of the given function

Q: Vx² + 8 – lim x-1 =? x+1

A: We have to find limit

Q: (x³ - 2x2 - 6+3x) 6. Evaluate lim- X-2 x- 2

A: To evaluate:                      limx→2 x3-2x2+3x-6x-2

Q: Vx+8-3 Evaluate ' lim-1 x+1

A:

Q: х2 — 2х-15 x2 — х— 20

A: We have to evaluate the following limit: limit as x tends to 5, [(x2 - 2x - 15)/(x2 - x - 20)]

Q: V1+x-1 lim

A:

Q: V13-x - 2 4-Vx +7 Evaluate lim-

A:

Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: Vx² +4 - 2 Find lim x->0

A: Consider the given limit limx→0x2+4-2x So, limx→0x2+4-2x=00   Apply L'Hospital's rule:…

Q: V3x2+6 Evaluate lim x--0 5-2x

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: x2 + 8x + 15 if x 2. Find lim f(x). x-2+

A:

Q: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

A:

Q: 2x2-3x Find lim х-4 4x3-8х+13-

A:

Q: 2-8x+16) Q5/B: Evaluate lim x-4 \ x2-5x+4

A:

Q: Find lim 2-0 -x-1 x²

A:

Q: 2-4 Find Lim x--23x + 6

A: Given: limx→-2x2-43x+6 To Find: limit

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: (5x+1)(3—10х) x(10х+ 2020) Find lim X00

A: limx→∞5x+13-10xx10x+2020

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: 1-x? 2. lim 3x +1

A: We have to find the limit of given function lim x→∞ (1-x^2)/(3x+1)

Q: x8 – 1 lim x-1x5 – 1

A:

Q: Vx+1-2 Find lim X-3 x-3

A: Given: A limit: Substituting x=3 in the limit we get, Since 0/0 is an intermediate form so we can…

Q: r2 + 8r + 15 if r<2 if z 2. if a <2 Let = f(x) 4x +7 lim f(x). I-2+ Find

A:

Q: m -->-2 O-27 Onone of these answers D12 (2 x³ - 3x + 5) -5

A: we will find the required.