lim (8 – 3x+12.x2) x-2

Q: tan 3x lim x→0 \ e2x – 1 3/2 O 1/2 O 2 O 2/3

A: Solution:GivenTo find the limit oflimx→0 tan 3xe2x-1=?Formula:ddxeax=aeaxddx tan ax=asec2 ax

Q: Find the limit by rewriting the fraction first. ху - 2у - 6х + 12 lim х-2 (x.y)-(2,2) X#2 ху - 2у -…

A: First of all, simplify the function: f(x,y)=xy-2y-6x+12x-2          =y(x-2)-6(x-2)x-2…

Q: Find the limit, if it exists. If the limit does not exist,explain why.

A: Left hand limit: Right hand limit:

Q: Find the limit (if it exists). If it does not exist, explain why.

A: first we factor the denominator

Q: 9. lim x→-3- x² - 9 Vx - 2 10. lim х>4- х — 4 x→4- 11. lim x→0¯ X

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

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: Find the limit by rewriting the fraction first. ху — у — Зх + 3 lim х - 1 (x,y)>(1,4) x+1 ху — у —…

A:

Q: Find the limit by rewriting the fraction first. ху — Зу - 7х + 21 lim х - 3 (х,у)— (3,8) x#3 ху — Зу…

A:

Q: Find the value of the limit lim 1 1 X 1 In(x) X-1

A:

Q: Use l’Hospital’s rule where applicable to find the limit.

A: Our Aim is to find the limit of the expression given below using L' Hospital's Rule:-limx→3…

Q: Find the limit by rewriting the fraction first. ху — у - 8x +8 lim х - 1 (х,у) —>(1,3) x+1 ху — у —…

A: In this question , we can find the limit . Firstly , we arrange numerator term and cancel the…

Q: 2. lim (5* +x)×

A:

Q: Use l’Hospital’s rule where applicable to find the limit.

A: Given,

Q: Find the limit by rewriting the fraction first. ху — 2у - 6х + 12 lim х - 2 (ху) -> (2,1) x+2 ху -…

A:

Q: Find the limit. lim (5x2 + 4x + 3) x-3 Need Help? Read It

A:

Q: I don't understand what to do with the infinity and negative infinity when finding the limit. What's…

A: We have given problem.

Q: Vx+8 – 2 c) lim-

A:

Q: 1 1 lim X-1 x +1

A:

Q: Find the limit of the function if it exists lim (x,y)+(0,0) x² + y² - 2xy y³ – x3

A: Given,         lim(x, y)→(0, 0)x2+y2-2xyy3-x3

Q: x² +x – 2 lim- x-1 2x2 – 8x +6

A:

Q: cot3x Lim X-o cotx 0

A: Given limx→0cot3xcotxTo evaluate the limit:

Q: Find the limit, if it exists. If the limit does not exist, explain why. 5x – 10 lim |x – 2| x-2-

A: We have to find value of given Limit.

Q: Find the limit by rewriting the fraction first. ху - Зу - 4х + 12 lim x- 3 (х,у) — (3,7) X#3 ху - Зу…

A: we have to find the limit of the given expression

Q: lim (x² + 2)sechx X+0

A:

Q: find the limit or explain why it does not exist. (x + h)? – x² lim

A:

Q: find the limit or explain why it does not exist

A: Given : limx→012+x - 12x

Q: Divide numerator and denominator by the highest power of x in the denominator to find the limit at…

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: 27. lim x* r-0+

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the limit. (If you need to use -o or ∞, enter -INFINITY or INFINITY.) r3 + 5x lim x2 + 4 -

A: evaluate the limit

Q: (e-1) Find the value of the limit lim 1.

A:

Q: What should "?" be so that the limit will be correct? x2 – ? lim I – 3 = 6 a →3 09 O-3 03

A: To find the question mark term

Q: x²- 4 as x approaches infinity. Find the limit of x-

A: Given   limx→∞ x - x2-4Multiply by conjugate of x-x2-4limx→∞ x - x2-4 x x+x2-4x+x2-4

Q: (2r+3, ifx 0

A: limit of function exist if left hand limit =right hand limit Consider left hand limit…

Q: 8x³ – 5x? +17 lim 3 6x' + 2x² – 4x X00

A:

Q: What is the limit as x approaches positive and negative infinity?g(x) = (10x^5 + x^4 + 31)/x^6

A: We need to find the limit as x approaches positive and negative infinity for the function given…

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, if it exists. If the limit does not exist,explain why.

A: Given information: limx→ 0.5-2x-12x3-x2

Q: Find the limit. lim x2 x--3 Need Help? Read It

A:

Q: Find the limit as x approaches 4 from the left. lim x4 I t Preview -00 4 - Explain your reasoning.

A:

Q: х — 5 7. lim x→5+ x?

A: Use simple limit method

Q: Calculate the limit algebraically. If the limit does not exist, say why. x - 1,000x lim x+0 2x +…

A: Given that: limx→∞x5-1000x42x5+10000

Q: Find the limit 7x+2 limc I→∞ Va²+3 Does the function have a horizontal asymptote? If yes, what is…

A: Let's find.

Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

Q: 6+4t lim t--3 t +1 3. x2 - 25 lim 2 x→-5 x +2x -15 4.

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A:

Q: Find the limit,use 2 Hospital's rule n/15 lim 3

A:

Q: Find the value of the limit

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Q: lim TDC – 1 2x?

A:

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) lim_(x². + +x+5)…

A: We have to find the one side limit

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given: lim△x→0+x+△x2+x+△x-x2+x△x