Find (in terms of the constant a) V5(a + h) – V5a lim h-0 Limit = DNE

Q: Use the limit definition to compute f '(a) and find an equation of the tangent line. f(t) = t-3, a =…

A: Given: ft=t-3  ……1 a=1  ……2   To find: f'a and equation of tangent line

Q: Q3: A) Find the limits below 1) lim (x,y)—(0,0) x² + sin²y 2x2 + + y²

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x² sin2(y) lim (x, y)→ (0,…

A: To evaluate: lim(x,y)→(0,0)x2sin2(y)x2+8y2

Q: Use the limit definition to compute f '(a) and find an equation of the tangent line. f (t) = t −…

A: We find f'(t) using the limit definition first

Q: If f(x, y) approaches 1 as (x, y) approaches (0, 0) along the path y = mx, where m is any real…

A: To check whether the given statement is true or false.

Q: Find the value of the limit lim SINX X 0 2x 02x (a) 0 (b) 1 (c) 1/3 (d) 1/2 (e) 1/4

A: Here we have to find the limit of the function. In the first step use the property of the limit:

Q: evaluate the limit:  limit of the square root of 1+t - square root of 1-t / t as t approaches 0

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Q: Assuming h > 0, compute Vx - Vh lim x→h X-h (a); Vh (b). 2h (c) (d) 2h (0)

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Q: (3) Find the limit if it exists. - ay? (a) lim (1.y)-(0,0) r2 + y?

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

Q: Find the limit. t2 j+ sin(7t) k sin2(t) -2t ¡ + lim t→0 e

A: We have to find the limit: limt→0e-2t i+t2sin2t j+sin(7t) k

Q: Use the limit definition to compute f 1 (a) and find an equation of the tangent line. f (t) = 2t3 +…

A: Given: f(t) = 2t3 + 4t, then f'(t) = 6t2+4.   Then f'(4) = 6 * 16 + 4 = 100   At t = 4, f(t) = 6 *…

Q: What is the limit of f(x) = 3 as x approaches π? (If an answer does not exist, enter DNE.)

A: Given:

Q: (d) Determine the following limit using u-substitution method: sin(t - 1) lim -1t2 +t – 2

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Q: Find the limit. O 75 π O O' O O I 00 D8 - 150 lim sin¹. 5 x X→ 0 ¹7x

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Q: Find the limit. V17x + h – V17x lim h→0 h

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Choose the correct answer for the following limit Q1_V1_M S sin t3 dt lim x-0 1 2 x4 (A) 3. (B) -1 3…

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Q: Let f(x) = V17 – x. Compute f'(8) using the limit - definition f'(8) = | 8 Find an equation of the…

A: To find the derivative of f(x)=(17-x)1/2 using limit definition and also obtain the equation of…

Q: Use l’Hôpital’s rule to find the limits

A: We have to find the limits of the function by L'Hospital's rule: limt→∞et+t2et-t If we limits are in…

Q: Computing the derivative of ƒ(x) = x2 ex

A: Consider the given function fx=x2ex

Q: Use l'Hôpital's Rule to find the limit. 5t +t 5t t-0 e lim 4 -t

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1 (e⁹ti + sin(6t)j + e-7tk…

A: To find, limt→0e9ti+sin(6t)6tj+e-7tk

Q: Use the limit definition to compute f 1 (a) and find an equation of the tangent line. f (t) = √((3t…

A: Given that: ft=3t+5,   a=-1f-1=3-1+5=2ft+h=3t+h+5=3t+3h+5

Q: Evaluate , x? dx by limit definition. f(x) dx f(G.) Ax¡ lim i=1

A: Given integral  ∫01x2dx △x=b-an△x=1-0n=1n ci=a+i(△x)ci=0+i1nci= inf(ci)=in2

Q: Find the limit. (e-4t i + j+ sin(5t) k sin?(t) lim

A: We have to solve given problem:

Q: 1 -1 lím (x,y)→(0,0) tan x² + y?

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Q: Find the limit. lim (t i – 3 j + r² k)

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lime4ti + sin(2t)j + e-2tk…

A: To find the limit of given vector function.

Q: Find the value of the limit lim sin 6 t t - 0 sin 4 t (a) 2 (b) 1.5 (c) 1.7 (d) 1.9 (e) 1.8

A: Recall the famous rule of limit:

Q: Find the limit (if it exists). If it does not exist, explain why.

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Q: Find the limit. x²y lim (x,y) → (0,0) x² + 8y²

A: limx, y→0, 0x2yx2+8y2

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 6 - xy lim (x, y) → (2, 1)…

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Q: Pls help ASAP

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Q: Find the limit V1+t4 dt lim

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Q: Calculate the value of the limit lim(x,y)→(0,0) 22xy/x^2+y^2 as we approach (0,0) along the path…

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Q: X,xif limF,(t)= F(t) at all t for which Fis Continuous

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the limits by rewriting the fractions first.

A: We have to find the limit: limx, y→0, 01-cosxyxy Rewriting the fraction using trigonometric formula,…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim yz (x, y, z)- (0, 0, 0)…

A: limit exist and the value is 0

Q: Express the limit as a definite integral. [Hint: Consider f(x) = x2.] lim i = 1 n' xp 1.

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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: 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: Please

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Q: 1-cost lim sint et-1 + t t t+0

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Q: a)Express the limit as a definite integral. Σ (3c-5)Ax, xe[0,1] lim 2 b) and then evaluate it.

A: lim∆→0∑i=1n3c2i-5∆xi  x∈[0,1]∑ =∫∆xi=dx∫01(3x2-5)dxThis is definite integral

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim xy4 (x, y) - (0, 0) x² +…

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Q: 1. Let f(r) 5r?. %3D (a) Using the limit definition, find f'(3). (b) Find the equation of the line…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (e³ti+ sin(4t)j + e-6tk…

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Q: Find the limit: -3t e to - 1 t10 – t9' 2+ t -5 lim( t t→0

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Q: Find the limit: lim (1,y) → (0,0) x² + 8y?

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Q: Find the limit. (F'i – 9 j + r² k) lim t→4

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