Suppose that we wanted to show that lim does not exist. X - -1 X+1 Decide whether the argument below is a true or false method of proving this. -1 + (-1+)= We could take the sequence 1 Since -1+ 1 (sum of convergent sequences) but -n +1• we could prove that 1 (-n+1) is unbounded (and therefore divergent) and use this to conclude that lim X --1 does not exist (DC for limits). X +1 O True False

Q: х?-2х-15 lim х>5 х2-6х+5

A:

Q: evaluate the limit.

A:

Q: Give a de proof that lim (2√x - 4) = -3

A: Details attached in step 2. The answer is typeset in LaTEX.

Q: Prove the limit Statement lim (5x-8x-4) = 12

A:

Q: Prove that lim 1 H 101H 818

A: We have to prove that  limx→0- 1x → -∞.

Q: 2 2 - Let S₁ = 3x₁² x₁ + 3x₂² Ax₂ +...+ 3x² Ax, where the Ax;, fill out the x-interval from x = -2…

A: Given that Sn=3x12∆x1+3x22∆x2+...+3xn2∆xn, where the ∆xi fill out the x-interval from x=-2 to x=6…

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: 3x + 2x + x+ 1 Let Ax) = What types of asymptotes does Ax) have? Explain. .2 x* +x-2

A: To find the asymptotes of f(x).

Q: Find lim (1+ I-X 4 T

A:

Q: lim 8-x3 x→2 (x-2)

A:

Q: Evaluate 1 1+x)s - (1-х) x)8 lim X - |00

A:

Q: n +1 lim 2 - ["]

A:

Q: x² - 4 lim 1-2 +2 O-00 O 4 O 4 O 2

A: Use  a2-b2=(a+b)(a-b)

Q: 10 Monday lim 20 315 5 에요 글

A:

Q: Find the limit of lim x(√64x²5 ∞0++* √64x²14) = = lim x(√64x²5 -5-√√64x²-14) ∞0++x

A: limx→∞x64x2-5-64x2-14

Q: The limit, lim 2(x + h) ² - 2x² h-0 h

A:

Q: 32²112 + 10 3. Find lim 1-2 ³-4x² + 4x describe any infinite behavior. algebraically. If the limit…

A: limx→23x2−11x+10x3−4x2+4x

Q: Find the limit

A: It is given that,limx→2x2+2x-8x2-x-2We have to find the limit.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.