Use the graph of y = Rx) and the given c-value to find the following, whenever they exist. (If the limit is infinite, enter 'oo' or '-0', as appropriate. If the limit does no C= -41 2 3. -6 y= fx) -9- lim f(x) (ь) lim f(x) (c) lim f(x) (d) fc)

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→5   5 + X/X

A:

Q: b) Now, follow an algebraic approach to compute the limit 13 – 1 lim 1 I-1 and the limit V9+x– 3 lim

A:

Q: Find the limit, if it exists, or type N if it does not exist. lim(x,y)→(0,0)  4x^2/3x^2+2y^2

A: Find Limit

Q: Find the limit lim Vz +1 Enter I for o0, -I for-oo, and DNE if the limit does not exist. Answer

A:

Q: Calculate the following limits, if they exist. 2ry lim (z.9)→(0,0) 1² +y²*

A: The limit value of lim(x,y)→(0,0)2xyx2+y2. To find the value of fx,y=2xyx2+y2 when x,y approaches…

Q: Find the limit, if it exists.

A:

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

A: The given limit is

Q: Compute the limit or state that it does not exist. (If an answer does not exist, enter DNE.) xy2 lim…

A:

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

A: limx->∞9-x3+x Divide the given expression by the highest denominator power So we divide each term…

Q: Evaluate the given limit. Show your complete solution. limx→∞ [e5z + x²]

A:

Q: Find the limit, if it exists: X lim X+- 0 x² + 1 ,2

A: We factor out x2 from inside the square root. Then |x| comes out of the square root. Note that: x/…

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) f(x) =…

A: As given Function  fx=-x+6if x≤05x+5if x>0 Thus limx→0-fx=limx→0--x+6             =6

Q: Find a & that works for & = 0.1 for the following limit. lim 6x + 7 = 13 x1

A: The limit is given by limx→16x+7 = 13 To evaluate: The value of a δ that works for ε=0.1

Q: Find the indicated limit. *s (Vzr+ 2) lim X→-5

A:

Q: v) How would the value of the previous limit change if instead of the function y = words, what is 4…

A: To find the left-hand limit of the function,  limx→2-1x-2+1 Apply the limit rule,…

Q: (3) Find the limit if it exists. - ay? (a) lim (1.y)-(0,0) r2 + y?

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

Q: Find the limits to the following . (If the limit is infinite, enter '∞' or '-∞', as appropriate. If…

A: as per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Consider the graph of y = f(x). Determine the following limits. -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5…

A: Solution:

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: 4-ху Find lim (x,y)¬(2,1) x²+3y2 if it exists, or show that the limit does not exist.

A: limx, y→2, 14-xyx2+3y2Plug in the value x, y=2, 1=4-2· 122+3· 12=27

Q: 1. Find the following limits mathematically. If the limit does not exist, state why. x* - 4x -12 a.…

A: When applying the limits to an expression and if we get a 00 form then use l'Hopitals rule to find…

Q: Which of the following statements are correct for C-4y lim (,1) (0,0) 2y +3 I) Approaching along the…

A: Let's move across the path y = x We get the value of -3/5 but that doesn't mean that limit exists.…

Q: Find the limit (if it exists) lim                t2+t-2/t2-1 t-->1

A: First we factor numerator and denominator

Q: lim x².e 2.

A: The given limit is in the indeterminate form, just using L,Hospital's rule and easily find the…

Q: Compute the following limits if they exist. Be sure to include some justifica (a) lim 5 (b)…

A:

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) x + 7…

A:

Q: Determine the limit by sketching an appropriate graph. WA-x2 lim f(x), where f(x) = 2 0 gx<2 2 sx<4…

A: Topic- limits and function

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) x + 2…

A:

Q: 8. Find the limit, if it exists, or show that it does not exist: 2x-y a) lim (xy)(1,2) 4x2-y2

A:

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

A: Find the limit

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

A:

Q: x" -1 :? x+1Vx -1 For a positive number nEN, what is the value of the limit lim-

A: On substituting x=1 in limx→1 xn-1x-1 tends to 00 (Indeterminate) form So upon applying L-Hospital…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim as x approaches 9+…

A:

Q: Determine the following limits at infinity. 10 lim a5 + *+

A: Given, limx→∞a5+1x+10x2b

Q: If lim,3 f(x) = -2 and lim,-3 g(x) = 7, calculate %3D %3D im ((x + 1) . f(x)² + *+2 g(x) x→3 The…

A:

Q: (2r+3, ifx 0

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

Q: Can i get help with this problem step by step

A: Recall the following facts.

Q: xy-y lim - y(-1.2) (x + y + 1)

A:

Q: Find the limit. lim (3x5 - 2x4 - 4x³ + x² - 5) x+-2 O -33 O -161 O 47 O -97

A: See the details solution in below

Q: Find the limit, if it exists.

A: It is given that, limx→∞xx2+1We have to find the limit,if it exists.

Q: Find the limits as x → 00 and as x → -0o. (If the limit is infinite, enter 'oo' or '-o', as…

A: To find the limits as x→∞ and as x→-∞. If the limit is infinite,to enter '∞' or '-∞', as…

Q: 9. Find the limit, if it exists. (If an answer does not exist, enter DNE.) Vx²+x a) lim X--00 -3x

A: topic- limits

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) -3 lim x-4-(x-4)²

A:

Q: Find the limit, if it exists: 3x2 + 4y lim (xy)-(0,0) x2 + y²

A:

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) lim (6x…

A: limx→1- (6x-4)put x→1- in given equation then we get6(1-) -4

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 4x + 4 lim x--1 x + 1|

A: To find limx→ -14x+4x+1

Q: Q1: Find the limit of the following х-2 2x2+1 tan nx 1) lim- 2) lim x-0 (2-x)(2+x) 3) lim x-2 x²-4

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

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 4. lim (x2 X--3…

A: Given problem:-

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