6. Given the graph of g(x) below, evaluate lim (g(x)) x→4 -3- -2- 4 -1- DNE (does not exist) 4 -1 EXIT SURMIT A

Q: Find the slope of the tangent line to the parabola y=4x-x^2 at the point (1,3) 1) using the…

A: Given

Q: Consider the graph of y = x2/3 = Vx² on the interval [0, 0]. FIGURE 2. The curve y = x2/3. 2 - Show…

A:

Q: Find the limit       lim h approaches 0  3/[3h + 1 + 1]^1/2

A: Given limit: limh→0 33h+1+1

Q: 4 Find the limit lim 3 Enter I for oo, -I for -o, and DNE if the limit does not exist. Answer:

A:

Q: 10. Let a be a positive constant. Evaluate lim x(a/x – 1) if the limit exists. If the limit does not…

A: limx→af(x) does not exist. The idea is that there is no number that f(x) gets arbitrarily close to…

Q: 1 Discuss the existence of the limit lim sin x 0 x

A: To determine: The limit

Q: 6. Use the graph of the function f(x) = He to discuss the limit lim 40 f (x). 1+e!/x

A:

Q: 1: Find the limit 6x°y5 lim (x,y)¬(0,0) x6 +y10

A: See the attachment

Q: Find the value of the limit: 3x -9x e -e lim In(1+x)

A: Using limit to find the value of given function

Q: 8. e 1 Build a table to estimate lim x+0 X

A:

Q: In finding the limit for  (x)2/x as x→+∞ by L'Hospital rule, which limit should appear in the late…

A:

Q: find the limit of g(x) as x approaches the indicated value.

A: the given expression is: limx→51x+g(x)=2

Q: 2. Find the limit or show that it does not exist: lim (2,y)→(0,0) 2x6 + y?

A: We have to find limit

Q: 5. Evaluate the limit: Vx +1 lim x→1 4x -4

A: Limit at a point exists if left-handed and right-handed limits exist and they are equal. Left-handed…

Q: We want to find the limit lim os(2æ) – cos(7x) - x2

A:

Q: Which of the following limits can be evaluated using L'Hôpital's Rule? Зх- 12 A.lim x→4 x2 +16 Зx-12…

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Q: 5x2 + 10x + 1 20. lim x* + x² + 1

A:

Q: 9. Sketch a graph that has the following properties: (i) ƒ is continuous on (-∞, ). (ii) f'(x) 0 on…

A:

Q: Q2/Find the limiting values: lim Tan (4%) 必→。 O lim 7 7- x2

A: Explanation of the solution is given below...

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

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Q: x+h-Vx 12. lim h

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Q: (b) Find the following limits WITHOUT using the L'Hopital’s Rule. x²–4x lim x→0- |x| (i) (ii) 2tan?x…

A: Part i,Given,           limx→0-x2-4xx

Q: find the limit of g(x) as x approaches the indicatedvalue.

A: Given: limx→-310-x2(g(x))1/3=0 Simplify.…

Q: 4. The graph of a function f(x) is shown at right. If g(x) = V1+ 3x , find lim [f(x) + 3 g(x)]. %3D…

A: The graph of the function fx is given. From that graph it is clear that, the function fx, at x=1…

Q: 1. Find the limit. 1-x2 (a) lim VIA +1

A: we have limx→∞1-x2x4+1this is ∞∞(indeterminate form)

Q: 9) Find the limit. lim f (z) æ – 2| ( (z) = 2- 2 Graph method

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the Limit et – 1 lim t→0+ t3

A:

Q: Along the path a = e" find %3D lim (7,y) (1,0) y²-6ry 3r-y-3 O 2 O -2 O-3 O does not exist 0 3

A: we have to find the following limit

Q: Show that xy lim (x,y)→(0,0) x2 + y8 does not exist.

A: If two different path have two different limit then limit does not exist . Now find the limit along…

Q: 3) If lim dt) = 5, can there be a vertical asymptote in the graph of d(f) at t = 0?

A: Given               :  limt→0- d(t)=5   Not Given       :  limt→0 d(t)=? limt→0+ d(t)=?

Q: Find the limit analytically: 2-4x lim 40 5+3x x? - 2.x -15 lim x 5 2. 3. Find dy/dx of:

A: A number M is said to be the limit of a function f(x) at x=a if for any arbitrarily chosen positive…

Q: Q3 (A): By using "L' Hopital rales "; Find the limits of: (1) tim-al-ca (2) lim, x(tan"¹x-x)

A:

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: Establish Limit at x=1 using.graph of function Let f (x) = 3x +1. Use Desmos to graph the function.…

A: Since, you have post multiple question. I am answering first one, please post again for the…

Q: 3 (а+h)2-За? Algebraically calculate the exact limit: lim h→0 h

A:

Q: 4. Find the following limits or determine that they do not exist: 1+1/x a. lim,-0 1+1/x² 1+1/x? b.…

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Q: Evaluate the limit x2 + 0x – 25 lim x - 5 x-5 Enter I for co, -I for -oo0, and DNE if the limit does…

A: we have to evaluate the following limit

Q: S -2x? + 5x 7x² – 5 for x 0. According to the alternate form of the definition of the derivative,…

A: Given:

Q: Find the limit. lim (2 – x) tan(3«) %3D x>1

A:

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: (b) Find the following limits WITHOUT using the L'Hopital’s Rule. x² –4x lim x→0- ]x| (i) 2tan?x lim…

A: (1). From the given problem: limx→0-x2-4xx

Q: 3. Find the limit, if it exists, or show that the limits does not exist. c) lim (x,y)→(0,0) x² + y?

A:

Q: 4] [2M] Determine whether the limit exist in R for lim xsin(1/x²), (x# 0). x→0

A: Zero

Q: Find the value of the limit lim 01 0 0 O DNE x3 x+0 x³ + x2 < Previous

A: On solving this we will get

Q: 1. Find the indicated limit or state that is does not exist lim (3x'y- xy³) а. (x,y)→(1,3) b.…

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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: |x| does not exist. Show that the limit lim x 0 X

A: Given: limx→0xx

Q: Find g'(x) for g(x)=-x^2+3x+2 by using the limit definition of a derivative.  lim x-->0…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.