2. Find the limits. Use the symbols o and -oo when appropriate, or write DNE if the limit does not exist. a) lim vx2 + 9 X00 7x-2 b) lim X00 2x+1 x-8 c) lim X-00 x2+9 x*-4x2+x d) lim- X-00 x3-x+2 1-xーx2 e) lim x-00 4x2-7 x3-2x+3 f) lim X00 6-3x2 x+2 g) lim V49x +1 ズ→0 7-e* h) lim ズ→o 7+9ex i) lim e5x cos x 00

Q: Determine the following limits.

A: Consider a function fx. Then, the limit of a function at x=a is given by: limx→a fx=fa

Q: Evaluate the limit x2 + 13x + 36 lim I +9

A:

Q: Evaluate the limit V5 +3r2 lim 5 6x

A: We find limit of given function

Q: Find the limits

A:

Q: Evaluate the limit: - 7x - 21 lim x-3 x² - x - 12 =

A:

Q: 8 x2 -73 x -70 lim x-10 X- 10 x3 - 64 lim X - 4 X- 4

A:

Q: 2 3 Determine the limit: lim x1- 2- 4x + 3

A: To determine left hand limit of given function.

Q: 1. Evaluate. a) lim b) lim x² + 9x-4 x²2x-8 x + 2

A: The solution is shown in step-2

Q: Find the limit:

A: Evaluating the given limit:

Q: 2x2-5x-12 4-V4x Evaluate the limit lim→4

A: From the given problem:   limx→42x2-5x-124-4x ....(1)   So, simplify:…

Q: Evaluate this limit:

A:

Q: Evaluate the limit 6x3 6x2 – 5x |- lim 7 3x 6x3 - -

A: Evaluate the limit in the following way:-

Q: Find the limit lim-0+ xlnx10

A:

Q: Evaluate the following limits: a) lim 20 7-6 10r2 r-4 b) lim q-3-79-6 qco 2q4+4q-3-10q-8 c) lim…

A:

Q: Which limit is equal to -11 + 372? lim (- 11+ r2²) 11+ TX O lim (-11+ 3x) O lim (- 11 + Tx) エ→3 O…

A:

Q: (2x – 1) 3. lim (3x² +2x - 7)(x – 9x)

A:

Q: 1-х? а.) lim (x– 1)? Зх-10х3 b.) lim 5x - 7x? +1

A: (a) Given information: limx→1-1-x2x-12 To determine the limits first simplify,…

Q: lim 2"+1+3"+1 2n +3"

A:

Q: 3. Evaluate each limit: x'+7x+12 4x а) im b) lim x +2 x+3

A:

Q: Evaluate the limit 7x3 – 2x2 – 2x lim 2 — 4х — За3 x → 00

A: limx→∞7x3-2x2-2x2-4x-3x3 ⇒ limx→∞7-21x-21x221x3-41x2-3 (divide numerator and denominator by x3)

Q: a) Evaluate V9x(x² – 3x +2) lim (3х — 3)

A: To find the limit:

Q: Find the limit: a) lim (-2x) x-73 c) lim (√x + x +4) ² X-9 6) lim (8x) X-0 d) lim x²-9 x3 x-3

A:

Q: Determine the limit: lim 45 - 5x2 %3D X3+ X - 3

A:

Q: Calculus Question

A: Cost and revenue function

Q: 4x +2 lim x→∞ x-7 f) Evaluate:

A:

Q: Find the limit: (a) lim 3x+9x2-4x+17 5x3-3x-14

A: