C. Evaluate the following limits and determine if the limit exists. Show your solution. lim +1+ 1.

Q: 2/ Find the value of the limit: lim x/*,

A:

Q: For which sign, + or −, does the following limit exist?

A: First find the limit for the + sign. if the expression is 00 then apply l' hopital rule.…

Q: Find the limit. lim X+00 e

A: This problem can be solved by the L-hospitals rule as the given expression is in the form of ♾️/♾️

Q: (e) lim v-r + 20r – 100 +10

A:

Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

A:

Q: Find the following limit: x3 – 14x? + 42x – 20 - lim x → 10 x – 10 Answer:

A:

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: From the graph we see that, when x is close to 3, then y is close to 1.  So the limit exists.

Q: Q 2 Find the following limit if it exists: lim,+25 C 25 Vx-5

A: The given limit is

Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

A: We have to evaluate limx→∞9−ex9+2ex Take common factor ex from both denominator and numerator…

Q: Find the limit. lim (tth)" 4.

A: Take the common terms out from the numerator.

Q: Find the following limits if they exist. lim (x+ e* ) b)

A: We have to find the limit: limx→0x+ex1x This is 1∞ indeterminate form. We know the formula for 1∞…

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for - oo. (a) -12x lim 11 + 11 -…

A: Given: to evaluate the limitslimx→118+ -12x11-8x=?  and  limx→118- -12x11-8x=?

Q: Evaluate the limit and justify each step by indicating the appropriate Limit Law(s). 2x2 + 1 lim V…

A: Given:            limx→22x2+13x-2 Rewrite as: limx→22x2+13x-2 Use the property:…

Q: We are asked to estimate the value of the following limit. lim (2 + h)4 - 16 h-0

A: Consider the given table: As h is approaching 0, f(h) is approaching 32.

Q: For which sign, + or - , does the following limit exist?

A: Given that, limx→01x±1x(x-1) Consider, limx→01x+1x(x-1) = limx→01x1+1x(x-1)1x…

Q: Vx+5-3 lim X→4 х—4

A:

Q: 10. /(6) = { fx3 +3 lx- 5, x 2 x-2

A:

Q: Use the formal definitions of limits as x→ +-∞ to establish the limits If ƒ has the constant value…

A: The given function is fx=k. let ε>0. Take N=10. Clearly, fx=k    for  alll x>N.

Q: Find the limit. (If the limit is infinite, enter 'oo' or '-o', as appropriate. If the limit does not…

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Determine the following limits at infinity. lim x-6

A: We have to determine the limit: limx→∞x-6 We know that a-m=1am1∞=0

Q: 7-Vx2+49 lim X→0

A:

Q: Either find the following limit or determine that the limit does not exist: lim (Va2 + 2+ Vx² +3)

A:

Q: What is the value of the limit below? lim v1 – x

A:

Q: Use the graph to find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (6 -…

A:

Q: Evaluate the following limits. If needed, enter oo for o and -oo for – 0o. (a) lim (– 40æ² – 36x³) :…

A: Given(a)limx→∞(-40x2-36x3)replacing limit=-40(∞)2-36(∞)3 as we know power of infinite is…

Q: 2 3x-x² lim X→-2 х2-х-6

A: We have to find limit

Q: valuate the following limits, if they (a) lim (z+1)? – 2 I+3

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Use your answer to the previous question to calculate the limit and write your answer upload. In(x)…

A: The given limit is limx→1ln (x)-x+1(x-1)2 We have to find the first four terms of the Taylor series…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim + 3x

A: Please see the solution below.

Q: Evaluate the following limits. If needed, enter oo for o and -oo for -o. 15x (a) lim - 2x 3 + 15x…

A: Use left hand and right hand limit concept

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

A:

Q: Find the values of the following limits : V4+h 1-limn-0 2 - h

A:

Q: Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If…

A: a limx→∞ 16x2+5/7x-5 divide above and below by x limx→∞ 16 + 5/x2/(7 -5/x) now apply the limits 16…

Q: Evaluate the limit lim Va? + 3x + 11 – x -

A:

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for 00. /3+5x2 (a) lim 3+11a V3 +…

A: LetL=limx→∞ 3+5x23+11xDivide x on N and DL=limx→∞ 3x2+53x+11L=limx→∞ 3x2+5limx→∞…

Q: Find the one-sided limit V4 - y? lim y -2+ y + 2

A: Given: To find

Q: Evaluate the following limits. If needed, enter oo for o and oo for - V3 + 8x2 (a) lim 7 + 11x V3 +…

A:

Q: Evaluate the following limits and verify your answer. (i) Зу? +5ху + 2х? lim (х.у) -(4,3) Зу? + 2ху

A:

Q: Find the limit. lim V+3

A: Given query is to find the value of the limit.

Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

A:

Q: Determine the following limits at infinity. lim x12

A: Evaluate: limx→∞ x12

Q: Use the formal definition of the limit to prove the statement rigorously.

A: Given :          limx→4x=2

Q: Evaluate the limit and justify each step by indicating theappropriate Limit Law(s).

A: Given- limt→-2t4-22t2-3t+2 To find- The value of the above limit. Concept Used- The value of the…

Q: Use the graph to find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (4 -…

A:

Q: Find the limit, if it exists

A: To find the limit, if exists.

Q: Find the following limit: x3 – 14x? + 42x – 20 lim x → 10 x – 10 Answer:

A: Given that

Q: Find the following limit from two sides if available : x3 – 7x +7 2) lim x-2 x2-3x + 2

A: SOLUTION-

Q: lim 5etan(x) x → (1/2)+

A:

Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

A: