x3-9x 2x+6 8) Let f(x) = lim X→ -3 Enter your answer as either "yes" or "no" or "does not exist". Does f(x) exist?

Q: Determine the following limits analytically.

A: Given: L=limx→-1x2+8-5-4xx3+1 For evaluating given limit, we substitute x=-1+h, h→0 So,…

Q: -6/- -70 -8 Provide your answer below: lim f(x) = U a. x -4 b. lim f(x) =D | x-4+

A:

Q: Which of the following limits will be indeterminate/undefined value when direct substitution is…

A:

Q: Calculate the following limits

A: a)To solve the limit in expression limx→1​x2−2x+1x−1​We need to simplify the expression by factoring…

Q: sin(xy) lim (x,y)-(0,0) x²+y² x²+(y-1)²-x³ lim (x,y)¬(0,1) x²+(y-1)²

A:

Q: ev2x-y lim (x,y)→(3,2) x*-4x2 lim (x,y)¬(0,0) \x²+2y²,

A:

Q: Evaluate the limits. If any of them tend towards -00 or +∞, enter "oo" (two lower case "o" letters)…

A: We can find the limit as below

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

A: limit values=?

Q: I+ 3r2 lim z+00 4x –1

A: To determine :  The limits of  (a) limx→∞x+3x24x-1   (b)  limx→-∞1+4x62-x3

Q: Determine the following limits or state that they do not exist.

A: Given f(x)=x-4x(x+2)

Q: 3x – x² + 12x – 4 lim - 3x+ – x³ + 3x² + 2x – 1

A:

Q: lim (x,y)→(0,0) 1 - cos(7xy) ху x-y lim (x,y)→(9,9) x4 — 4 - = m m www m

A: We need to evaluate limit.

Q: (c) x² - y² lim 2 (x,y) →→(0,0) x² + y² 2

A:

Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √√√y+3 lim (x,y)→(9,6) x-y-3 x+y+3 C

A: Part 1,Given,           limx,y→2,24-x-yx+y-2

Q: 7-Vx2+49 lim X→0

A:

Q: lim 1 00 3+ 10 x2

A: Limx-infinity (3+10/x2)Find the limit.

Q: Q.4. Calculate the following limits, if exist. 5x4 - 4x3 -x lim 10x3 -6x4 - 2x 1) x2 -16 lim x-4 x2…

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Q: 2 3x-x² lim X→-2 х2-х-6

A: We have to find limit

Q: 4+sin x lim - 1-0 Cos(x + .t) 回2 g. lim -1 x+1

A: Hence the value of limit will be -4.

Q: (a) lim (cosz)1/z x) 1/x² +0+x

A: