. Find two sequences {an}o and {b»}_o such that lim 0o. As part of your solution, explain colloquially what it means for a limit of a sequence to not exist. exists but lim a, = ∞ and lim b, %3D no b,

Q: Find the limit. lim +2y 8118 0 -1 1 -

A: Step 1: Step 2: Step 3: Step 4:

Q: 7x+8 3. lim (– In x0 X 4x +8

A: Given limit: limx→ 01xln7x+84x+8

Q: Find the one-sided limit (if it exists).

A: We first factor the denominator

Q: Find the limit. x!000 lim x→+0 et

A:

Q: lim x-1 (+2 メ→ト

A:

Q: 2. Prove that a. lim, b. lim,1

A:

Q: 5x esr lim 2x2 -7x+3

A: Given,            limx→∞e5x2x2 - 7x + 3

Q: Evaluate the limit. lim 7* - 2* |In

A:

Q: lim 4x + 3 = 7

A: To provelimx→14x+3=7

Q: Use the e-N definition of limits to show that 2n -15 lim = 1. %3D n0o 2n - 13

A: The objective to show that limn→∞2n-152n-13=1.

Q: 3. Evaluate the limit: x² – 3x + 2 lim X-1 x + 1

A:

Q: Evaluate the limit 2 i 16 lim 2 n2

A: Use formula then apply limits

Q: Determine the 3z 1 2x 1 2x 5 lim 00 O 00 2/4

A:

Q: hat the limit is the indicate

A: we have to Prove that the limit is the indicated number. limx→-2(7-2x)=11

Q: Evaluate the limit.

A: Definition and methods help to find the required limit of the given function. A value is said to be…

Q: Evaluate 1- lim sırx

A:

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

A:

Q: Prove that lim n = p.

A:

Q: Evaluate the limit V9 + 5x? lim x → ∞ 7+ 2x

A:

Q: Inx 6. lim,

A:

Q: Suppose the sequence of numbers o, ₁,...,,... satisfies the difference equation 2k+1=0k+ where a and…

A:

Q: lim 7 - 3x = -2 x-3

A: To prove :   limx → 3 7 - 3x = -2.