Learning Task 2: Complete the table of values representing the limit of a tion. Compare and analyze the table of values. lim (2 + 4x) x4 fx) fx) 3 3.5 4.8 3.8 4.5 3.9 4.1 3.99 4.001 3.9999 4.000001

Q: Calculate the limits given below, if not, explain why. y? a), lim (x.y)¬(00) x²+y² x³-y3 b), lim…

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Q: x2 – y? lim (x,y)→(0,0) x² + y?

A: The given expression is, lim(x,y)→(0,0)x2-y2x2+y2. Obtain the limit lim(x,y)→(0,0)x2-y2x2+y2 as…

Q: ry? – 1 lim (z.9)¬(1,1) y – 1 Evaluate the limit

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Q: Find the limit, if it exists.

A: The limit limx→∞1xn is equal to 0 for n>0. Limit of a ratio of two functions can in some cases be…

Q: Evaluate the limit 3(y? – 1) - lim y→4 5y²(y – 1)³

A: Given, limy→43y2-15y2y-13 we know LHS = RHS of given limit on y=4 function is continous on y→4

Q: lim (x?y3 – x²y² + 3x + 2y) (x,y)→(2,1) |

A: Solution...

Q: Problem Evaluate the limit lim (1,y)→(1,1) 79x² + 42y? =

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) (-7 + h)² – 49 lim h-0

A: To evaluate , limh→0 -7+h2-49h

Q: What are the values of the following limits? 2e – 5 (a) lim 1-e 3 + 4er [ Select) 2e - 5 (b) lim…

A: The value of following limits

Q: om the table, determine the following limits. I-5 1. lim I-3- I-3 HI5 4. lim I-3- r2 - 6r +9 5. lim…

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Q: et + e Find the limit lim x→+∞ eX e-x Answer:

A: Here we have to find the given limit    limx-->+∞[(ex+e-x)/(ex-e-x)]

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: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 4 (4, 3) 2 C = 4 4…

A: Topic - limits Limit does not exist at a point if left hand limit is not equal to right hand limit

Q: What is the value of this limit? lim I-3 2 + 7 + x I + 4 +5

A: Given limx→-3x2+7x+4+x+5

Q: Find the Limit of a Root:

A: The limit of a function is defined as the value the function assumes when the arguement of the…

Q: Find the limit by rewriting the fraction first. У + 64 lim (x.y) (8, - 64) x3y- xy + 64x2 – 64x…

A: Consider,limx,y→8, -64y≠-64, x≠x2y+64x2y-xy+64x2-64xTo find: The limit of the given fraction.

Q: following limit Find the lim sh(7e) 5x

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Q: (2 pts) 7. What value ofk will make lim f(x) exist? What is the limit? VI+5. ifx 3

A: given: f(x)=x+53,      if x<3kx2-4x,    if x>3 limx→3f(x) exists.

Q: to` The graph of a function y = F(x) is given below, find the limits. y 5. .5. (a) lim F(x) =? I-0+…

A: (g) The limit of the function as x→2+ is the value of the function as x tends to 2 from the right.…

Q: Question Compute the following limit. lim (2? – 2a – 1) (If the limit does not exist, enter Ø.)…

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Q: Decide whether the limits exist. If a limit exists, find its value.

A: A function f(x) is continuous if the curve of f(x) is smooth at all points in the domain that is…

Q: Find the limits by rewriting the fractions first.

A: Given: limx,y→1,1x2-y2x-y

Q: Evaluate the limit 5(y? – 1) lim y→4 8y2(y – 1)°

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Q: A. Discuss the limit of the function as I approaches c and the value of the function as I= c.

A: To discuss the limit of a function as x→c To draw a graph according to the given conditions. A)…

Q: (a) it does not, explain why not. Determine whether or not the following limit exists. If it does,…

A: The limit of  two variable function  L=limx→a,y→bf(x,y)L'=limy→b,x→af(x,y)L''=lim(x,y)→(a,b)f(x,y)

Q: Find the limits by rewriting the fractions first.

A: To find the limit limx,y→2,2x-yx4-y4 Solution: The given fraction can be re-written as:…

Q: In Exercise, first get a common denominator; then find the limits that exist.

A: limx→02x-ln1+2xx2

Q: Which is the limit of f(x) as x gets closer and closer to 3 in this graph? * 5. 4 3. 1. 5 -4 3. 2 3…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 3s 4, s 8 -

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Q: Construct a table to find the indicated shown limit;

A: Construct a table to find the indicated shown limit limx→2x2-1.

Q: Untitled Question * Q2 a- is the limit exist? fx + 1 limx→2 14 x + 2 x = 2 lim T (3x sin 2x) b-…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 6. 5 4 (5, 3) 3 C…

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Q: Find the limit. lim (x, y) (9, 4) X + 3y – 4x - 12 y 4 %3D У -4 6. 0. O 12

A: A detailed solution is given below.

Q: Question 13. What is the value of the limit ty2 lim along the path x = 0? (x.y)(0,0) x2 + y (а) —1…

A: Topic = Limits

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 value of the parameter ? to make the following limit exist. What is then the value of the…

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Q: After direct substitution the limit lim (1 Select one: O 0° O 10 O 10 O None O 23

A: To find the value of after direct substitution.

Q: n! - (n+ 1)" lím (1+m) · (2+ m) ·. .· (n+ m)

A: Given expression is    limn→∞n!n+1m1+m2+m...n+m We have to find limit when m=2 and m=3.

Q: /49+h - 7 lim h→0 h

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Q: Evaluate the limit 6 (y? – 1) lim y→3 8y2(y – 1)° 3

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Q: 8) Based on the graph of y = g(t) below, state the value of each limit if it exists. If it does not…

A: We have to find the limit for the following with the help of the graph. We are answering only the…

Q: a) Check the limit of {x+[x]} where xo E N.

A: The limit of x+x where x0∈N

Q: Find the limit. lim (x,y) →→ (37,6) 5 sin y

A: We can find the answer as below

Q: et-1 im 1, illustrate the definition of a limit by finding the largest value of & s to g = 0.25

A: Part (a):   The derivative of the function is positive then the original graph is increasing and if…

Q: Calculate the limits given below, if not, explain why. y? a), lim (xy)-(00) x² +y² b), lim…

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Q: (- 2+ h)? – 4 Evaluate the limit: lim h→0 h

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Q: Find the limit: lim,o (2, +h)-S(G,) if . 2 if f(2) = 23-1 %3D O (A) O (B) O (C) O (D) -7 3z+2' -…

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Q: From the graph given below, the value lim, 6- f(x) is Are 1.1.3 2 4 -1 .. -4- O a. 0 O b. 5 O c. 1 O…

A: The solution is as follows:

Q: Evaluate the limit, if it exists. If not, enter DNE. T十6 3 lim 工3 1/6 help (limits) I-3

A: The given limit to evaluate is  limx→3x+6-3x-3 When the limit is applied directly…

Q: y (0, –7) y = h(x) (-2, –9)| (a) lim, h(x) X-2 (b) lim h(x)

A: (a). The value of limit when x tends to -2 but from left hand side or right hand side will be -9…