Guess the value of the limit (If it exists) by evaluating the function at the given numbers. llm (2 + h)3 - 8 h = +0.5, ±0.1, +0.01, +0.001, +0.0001 h-0 Complete the table (correct to six decimal places). h r(h) f(h) 0.5 -0.5 0.1 -0.1 0.01 -0.01 0.001 -0.001 0.0001 -0.0001 Guess the value of the limit (correct to six decimal places), If It exists. (If an answer does not exist, enter DNE.)

Q: (2x – x? if 0 sxS2 if 0 sxs2 2 -x if 2 < x<3 x - 2 if 3 <x < 4 if x 24 f(x) =

A: We have to find

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) h2 + h lim h 0 5h2 + 4h…

A: Given limit is : limh→0h2+h5h2+4h To find the value of the limit.

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: Find all values x = a where the function is discontinuous. For each value of x, give the limit of…

A: Given: fx=-2x2x+13x+6 We know that any given rational function is discontinuous where denominator is…

Q: What is the limit of the function as x approaches -4 from the left? * (6,5) (1,4) (-4,2), (6,2) -4…

A: Here we use the information from graph.

Q: find the limit of function (a) as x→∞ and (b) as x→-xo. (You may wish to visualize your answer with…

A: Given that, h(x)=3-2x4+2x2

Q: e slope of the iate limit.

A: The curve is given as  y=x3+2x-7.  a. To find the slope of tangent line using the appropriate limit,…

Q: In Exercise find the limit of each function (a) as xS q and(b) as xS -q. (You may wish to visualize…

A:

Q: Find the limit ast approaches 2 for the function f(t) = 3(t - 7)(t -6). lim 3(t-7)(t-6)=|| t 2…

A: To find the limit value at t=2 , substitute t=2 in f(t).

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (4 +…

A:

Q: x2 -3x + 2 lim x-2 x - 2 1.75 1.9 1.99 1.999 2.001 2.01 2.1 2.25 f(x) B. Then use a graphing utility…

A: Let us evaluate the limit,…

Q: find the limit of function (a) as x→∞ and (b) as x→-xo. (You may wish to visualize your answer with…

A: We have to find the limit of the given expression   the given expression is

Q: . Which statement is TRUE about the limit of the function f as x approaches 1? sx – 1 if x > 1 (-x²…

A: A. The limit of f as x approaches 1 is 0 False explanation :- The limit of f as x approaches 1 is…

Q: Ax) Use l'Hospital's Rule to calculate the exact value of the limit g(a) as x →0. Ax) = e* – 1 and…

A: Answer:  limitx→0f(x)g(x)=14 (Using L'Hospital's Rule)

Q: Q: Find the limit for the following functions: Vx-2 1- lim x→4 x-4 x2-2 2- lim x-1 Vx-3

A:

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

Q: y= G(x) 18 -15 -5 5 15 |-18 For the function graphed in the accompanying figure, find the following…

A: Given that:

Q: Estimate the limit by substituting smaller and smaller values of h. (4 + h) – 64 lim- h→0 h Round…

A: Estimate the limit by substitution.

Q: a. As x approaches -1, f(x) approaches what value on the first table? On the second table? b. Do…

A:

Q: Find the limit ast approaches 1 for the function f(t) = 3(t – 3)(t – 6). lim 3(t- 3)(t- 6) = t→1…

A:

Q: f(3+h) – f(3) lim h 0 ere f(x) = 7x² + 2. Enter I for oo, -I for -o, and DNE if the limit does not…

A: We will apply the limits

Q: 3. (X+h) 3. メ hつ0

A: To find limh→0x+h3-x3h

Q: Give an appropriate response. 3) Find the limit of f(x) as x approaches 2 from the left. (-3 if x3…

A:

Q: x+1 g(x)=. find the limit as x approaches 2 x*-4x+4

A: Consider a function: gx=x+1x2-4x+4……1

Q: Use the formula for instantaneous rate of​ change, approximating the limit by using smaller and…

A:

Q: 2. Given the function y = [(x-1)3 – 1]/(x), (x#0), find: (a) the limit of y as x approaches 0. (b)…

A:

Q: Pls help ASAP. Pls show work.

A:

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

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

A:

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…

A:

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A: Given data: f(x)=e1.9x-e3.1xx Solution: x=0.2 f0.2=e1.9(0.2)-e3.1(0.2)0.2=-1.983217 x=0.1…

Q: definition showing all work for credit b.Write the equation of the tangent line to the curve above

A: Derivative: f(x)=7x-4x2 a)       h→0limf(x+h)-f(x)h=h→0lim7(x+h)-4(x+h)2-7x+4x2h

Q: Evaluate the function f(h) at the given numbers (correct to six decimal places). F(h) = (3 + h)³ -…

A: (a) fh=3+h5-243h At h=±0.5,±0.1,±0.01,±0.001,±0.0001 (b) We have to evaluate the limit given below…

Q: Use the graph to find the limit L (if it exists). If the limit does not exist, explain why. (If an…

A: Definition: Let f(x) be a function. Then the limit of f(x) at x=c exists if and only if the right…

Q: What is the limit of the function as x approaches -4 from the left? * (6,5) (14) (-4,2) *(6.2) -4 -2…

A:

Q: 20 The function depicted to the left is (2+ x)³ – 8 g(x) = 15 Use algebra to determine the exact…

A:

Q: Evaluate the limit (In x)/x as x approaches positive infinity. Select the correct response: None of…

A:

Q: Question: If the limit as x approaches a of the function f(x) is infinity, does the limit as x…

A: To Determine: if the limit as x approaches a of the function f(x) is infinity,does the limit as x…

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

Q: Q8:- Find the limit of the following functions:- x2 - 2xy + y (1) Lim (х,у) —>(0,0) X+y ху — у — 2х…

A: First we simply numerator by applying appropriate identities or factorization of it

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

A: The limit of x+x where x0∈N

Q: The velocity (meters/second) of an object at time / seconds is governed by the IVP: 1 dv k dt + v =…

A:

Q: Find the limit ast approaches 4 for the function f(t) = 4(t-7)(t-5).

A: Limit

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

Q: Calculate the limit value: x² – x – 6 lim x--2 x + 2 Select one: O a. 00 b. 0 O C.-5 d. -3

A:

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

A:

Q: Q:: Find the limit for the following functions: - VI-2 1- lim4 X-4 x-4 2- lim 2r-3)(vI-1) X-1…

A:

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: