if x < –1 4x + 10 if -1< x < 2, findlim f (x), if it -x4 – 2 if x > 2 7 x2 - If f (x) I→2 exists. Enter DNE if the limit does not exist.

Q: 2) Evaluate the limit at x=1 for: x* + 7x2 – x – 2 f(x) x² – 5x + 4

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Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² – 5(x + Ax) + 3 − (x² − 5x + 3)…

A: Given :lim∆x→0x+∆x2-5x+∆x+3-x2-5x+3∆x

Q: 1. Find the limit if it exists. V2 + t – /2 – t - lim t→0 3t

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Q: Find the limit if it exists. V=f(x)

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Q: Find a value for the constant "a" that will make the function f(x) continuous. f(x) = { ax- if xs2…

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Q: Evaluate the limit: lim yr +6z +3 O-V3 b) 00 V3 d) OV19 -V19

A: Solve for limit

Q: Determine the left hand limit of h(x) given below as x approaches 3 from the left. S 2x + 1 | 10 – x…

A: Left-hand limit: the real number line usually has values increasing from left to right, so the…

Q: x2 if x 3 | Enter DNE if the limit does not exist.

A:

Q: Use the Two-Path test to show that the following limit does not exist. (Use y=x2) lim (x,y)→(0,0)…

A: Using Two-Path test we will evaluate.

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

A:

Q: - x² if x 3 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x…

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Q: What is the limit of f(x) = 8 as x approaches n? (If an answer does not exist, enter DNE.

A:

Q: lim 4e-4x lim 5ex - 4 X-4 9x + 7x - 7 lim 2x2 - 2x X- +0

A:

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: 2. Use the paths x = y and x = 0 to verify the limit. lim (x.y)-(0,0) x2+y²,

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Q: What is the limit as x goes to 0 for (e^x-1-x)/x^2?

A: Please refer the attached image for complete solution.

Q: Let            fn(x) = nx/1 + nx2  (a) Find the pointwise limit of (fn) for all x ∈ (0,∞).

A: Given : fn(x)=nx1+nx2; To find the point wise limit of this function for given values of x: We have…

Q: 3x3 – x2 5x - - Evaluate lim Answer as a fraction in simplest x¬00 (2x – 1) · (x² – 4) - form or DNE…

A:

Q: Q3: A- Find the limit for the following functions: - tan2x 4х-3 Зx3-9х2 +х-3 1- lim x→0 sin4x 2- lim…

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

Q: We have the function if (x, y) # (0,0), xy x²+y² f (x, y) if (x, y) = (0,0), (а) Find lim…

A: We have to find the following given conditions according to the given condition

Q: 1-cos 2x lim X→0 x2

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: (2) ykbäi * .. Find the value of Limit Below Vx + 11 – 4 lim x→5 X - 5 3/4 O 2/3 O 7/5 O 1/8 O 7/3 O…

A: Given: limx→5x+11−4x−5

Q: Consider the following. x² -1 ifx # 0 if x = 0 f(x) y -2 2 -2 Use the graph to find the limit below…

A: given function is                                      given graph is…

Q: find the limit as x approaches infinity of (1+2/x)^x

A: Find the limit as x to infinity,

Q: Find the limit (2x + y)² lim (x,y)→(0,0) 4x² + v² (Enter dne if the limit does not exist)

A: WE CAN FIND LIMIT . So , we can find limit along the line y=mx .i.e, we can choose path.If for every…

Q: Find the limit V1+t4 dt lim

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Q: - x – x2 if x 2 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(æ)…

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Q: (-3x)² +1 if x # 4 3x + 13 if x = 4 Calculate the following limits. Enter "DNE" if the limit does…

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Q: Let ƒ(x) = (3x - 1)/x. Make tables of values of ƒ at values of x that approach c = 0 from above and…

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Q: Q3. Compute the following limits if they exist. 2 – Vx (c) lim x→4 3 – V2x + 1 -

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Q: Q1:- Find the limit for each of the following functions if is exist ? 1) lim|x – 3| x-3 sx + 2 ,…

A: We find limit of given function

Q: find the limit as x approaches to infinity (x-3 / x+1)^x/a

A: We need to evaluate the value of the following limit limx→∞x-3x+1xa Formula Used:  limx→∞1+mxx = em…

Q: Estimate the limit numerically. x² lim x+4 O diverges to +o 00 O diverges to -∞

A: Given

Q: 1) Show that the limit doesn't exists : 3x2 Jy 2). lim (x,y)→(0,0) x2 +y²

A: We have considered different paths y = mx. If the limit is independent of m then the limit shall…

Q: The limit fx= X2 XスT 2メ-ズ Cos X ,X < TI at Will be 1-itexisted and eanals T 2-It existed and equals…

A: In the question we have to find correct option.

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: nd the limit. e3x p-3x lim x→0e3X - e-3x

A: on solving this we get the

Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)2 – 2(x + Ax) + 4 - (x2 - 2x + 4)…

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Q: Find the limit of x^x as x approaches 0 from the right.

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Q: Find Ilim(x,y) → (0,0); x² + y² whether the limit exists or not

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Q: Find the limit, if it exists.

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Q: Let f(x) = Vx – 6. f(7 + h) – f(7) - Then lim h→0 h If the limit does not exist enter DNE.

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Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞…

A:

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: find the limit as x goes to infinity of ln(x+1/x+2)

A: Evaluate the limit

Q: Find the limit as x approaches -1 for O-1/2 O 1/2 O-1 01 x+2 -1 x+1

A: Concept: L'Hospital's Rule: A general technique for assessing indeterminate forms like 0/0 or ∞/∞ is…

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

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Q: Find the limit of (x3+x2)1/2sin(((2)1/2pi)/x) as x approaches 0

A: To find

Q: if r =-1 A if z + -1 2. Is f(r) = continuous at r =-1? (Show your work using limits.)

A: