Evaluate the limit. x2 – 5x + 4 lim I- 4 VI+I-2 lim I-3 1 lim x 2r Evaluate the limit using L'Hospital's rule. lim I+0 1- coS I

Q: z2 -6x +36 Find lim I +6 O 36 O 108 The limit does not exist.

A: To find limx→-6x2-6x+36x+6

Q: x³ + y³ ху? limit depends on m, and therefore the limit Let f(x, y) = Set y = mx and show that the…

A: Limit is basic concept in calculus which shows the behavior of a function at particular point as…

Q: .Check if the limit below exists. If so, calculate its value and prove it. x² + y? lim (x;y)→(0;0)…

A: The given problem is to find the multi variable limits of two variables, We have to find the limits…

Q: f(7 + h) – f(7) lim h-0 h where f(x) = -5x – 8. If the limit does not exist enter DNE. Limit =

A: We have to find the limit of the function    f(x) =-5x-8

Q: 10. Find the value of the limit or state that it does not exist (DNE). a) lim f(x)= =(x)s u X -3

A: Given

Q: 4.x³+1 d) lim x→-o 2x3+v16x5+1

A: d) limx→-∞4x3+12x3+16x6+1limx→-∞x34+1x32x3+x616+1x6limx→-∞x34+1x32x3+x316+1x6

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: Let us start solving the problem step by step and find its limit

Q: x2 + 0x – 4 lim x-2 x - 2 Enter I for oo, -l for -co, and DNE if the limit does not exist.

A:

Q: Find the limit. lim 9. (x, y) 9) x+y-9 VX + y -3 X + y29 0. 3. No limit

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Q: 1. Calculate the limit for the given function and interval using left endpoints. Verify your answer…

A: Left hand limit Riemann sumLn = ∑i=1nfxi∆x        Where, ∆x = xn-x1n , where  xn = right hand bound…

Q: ad the limit if it exists, or show that it does n lim (7,v)-¬(0,0) xª + 4y²

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Q: Find the limit. lim 1→2(t i - 5 j + t² k)

A:

Q: 1 3. lim x0 1-cos x =too -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x)

A: Let's find.

Q: (i) Evaluate the limit or show that it does not exist. 2xy lim (x,y) (0,0) x2 + 2y² (ii) If cos(xyz)…

A: Firstly we can find Limits and In second one we can find partial derivatives .

Q: Evaluate the limit. –1+}² 1.2 COS I lim 2.x4

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Q: Find the limit. lim √√x+5 cos (x + π) X-IA O A. A. -√√5- B. √√5-T C. 0 O D. 1 OE. The limit does not…

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Q: (x² – 1)(3? – 4) 2 Find the given limit lim (1,4)→(1,2) (x – 1)(y – 2)

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Q: x2 + kx – 10 5. Find the value of k that would make the limit exist. lim f(ax) = x – 2

A: The given limit is limx→2fx=x2+kx-10x-2

Q: Find limit of lim メ-T(x*1) X-1 X-1 O a, 0 Ob. 1 00 d. None of these

A: Given the function limx→1xx−1   (x≠1)∵x≠1

Q: lim, f(x)=5 lim f"(x) = 4 16 - what is the following limit value? f(x- 2)-x lim x- 5 O A) 6 OB) 3…

A: Given:     To determine:

Q: x*-4y2 Find lim (x,y)¬(0,0) x2+2y2 if it exists, or show that the limit does not exist.

A: The given limit limx,y→0,0x2-4y2x2+2y2

Q: 2. Given lim= 2, X-2 X Use the precise definition of a limit to find the values of 8 that correspond…

A:

Q: 1 (a) Define what it means by for y = f(x). %3D * for y = 3x2 – 2x + 1. %3D (b) Using the defintion…

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Q: O3: A- Find the limit for the follo tan2x 1- lim x→0 sin4x

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

Q: valuate the limit 8x2 – 9x – 9 lim x→-o 7 – 7x – 10x2 E the limit does not exist enter DNE. imit =

A: We have to find limit

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four…

A:

Q: f(-4 + h) – f(-4) lim h-0 h where f(x) = 3x² +2. If the limit does not exist enter DNE.

A:

Q: Find the limits, if they exist, or type DNE for any which do not exist. 2x2 lim (7,y) (0,0) x2 + 2y?…

A: For different different paths , we can find limit.

Q: 6. lim e (x, y)→(1, –1) cos(x + y) -xy

A:

Q: Find the limit. lim x+v - 4 (x, y) -(2, 2) J+y-2 Vx+y - 2 O 2 4 O No limit

A: our objective is to find the limit.

Q: ez +e Find the limit lim I100 et - e Enter I for oo, -I for -oo, and DNE if the limit does not…

A: The value of given limit is 1.  As per our guidelines we can solve the first question only and one…

Q: Find the limit. lim(x.y) (0,0) x²+y² sin x-7+7 O 1 O No Limit 1/7

A: In the question we have to find the limit of the function.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(3, −3)…

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Q: Find the limit lim (t), where F(t) = (-1 v1+i-1 sin (2t) – In (t + 1) \ 3t 31y Find the limit or…

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Q: Find lim I→1 x² – 1 Enter inf for oo, -inf for -00, and DNE if the limit does not exist. Answer:

A: In such kind of limit we substitute the value of the limit with sign and then evaluate the…

Q: y f(x) y g(x) 10 1 Find the limit, if it exists. lim, -1 (f(x)g(x)) O 6 O DNE O 2 O -2 O None of the…

A: option (third(i.e., 2)) is correct see below the answer and explanation

Q: 8 Find the limit lim Y-00 y +8 Enter I for o, -1 for -0o, and DNE if the limit does not exist.

A: Solution 1

Q: f(8 + h) – f(8) lim h-0 h where f(x) = 6x + 2. If the limit does not exist enter DNE. Limit =

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed. Enter DNE if the limit does…

A: the given expression is: limx→0+ln7x·tan-15x…

Q: 7 x? 4x + 10 if -1 2 if a < -1 | If f (x) = I-1 | - exists. Enter DNE if the limit does not exist.

A: Here we have to find      limx--&gt;-1 f(x) .

Q: 4. Find the limit, if it exists or show the limit does not exist: ty? lim a) (x.y)→(0,0) x? + y* 4…

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Q: 1. Find the limit if exists or show that the limit does not exist 1-cos(x+2y²) (x+2y2)2 (a) (b) lim…

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Q: 8. Find the area of the triangle formed by the x and y-axes and the tangent to the graph of y =. %3D…

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Q: 1. Find the limit, if it exists, or show that the limit does not exist. 3xy lim (x,y)→(0,0) x² + y*…

A: Given that, To check limit exists or not, check limit along different paths. i) Limit along…

Q: Q5 Find the limit or show that it does not exist. 9. lim 6t+t-5 --8 9-2² h. lim (ex + 2cos3x) sin²x…

A: Please follow the next step.

Q: Find the limit. Use T Hospital s cos(x) lim - sin(x) + 1- x- (1/2) os (27) CoS sin(2n) 1- 0.

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

Q: 54 Express the limit as a definite integral. 54. lim -E n→* n E 1 + (i/n)²

A: To express the given limit as a definite integral.

Q: 1 11 lim X- 1 x2 + 9x – 10 Give your answer in exact form. If the limit does not exist, enter DNE.

A:

Q: xy cos y Q4 lim (x,y)-(0,0) 3x²+y (a) Evaluate the limit if it exist. If not, show that the limit…

A: To find the limit of a function in two variables and justify if it doesn't exist.

Q: What is lim ZH00 2+1 4z2 A -2 в c) D) 1 E) The limit does not exist. 1/4

A: