3 y° -8 im 2 y² – 7 y+12 →-2

Q: Find the limit (enter 'DNE' if the limit does not exisi) Hint: rationalize the denominator. (-8x? –…

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Q: nd the limit (if it exists). (If an answer does not exist, enter DNE.) 15 lim (x,y) → (0,0) x6y²

A: To  find the  limit.

Q: x² - xy (x,y) (0,0) √√√√y If it exists, find lim Answer: .Write DNE of the limit does not exist.

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Q: Find the limit (if it exists).

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Q: Choose the correct answer for the following limit S sin t3 dt lim 3x4 (A) (8) -1 (C) 1 4 (D) 4. (E)…

A: Let us consider the function F(x)=∫a(x)b(x) g(t) dt Then the derivative of the function is given by…

Q: Choose the correct answer for the following limit So sin t3 dt 2 x4 lim (A) 3 (B) -1 3 (C) 1 8. (D)…

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Q: Among the solutions of the 3rd order linear ODE y" – y" + y' – y = 8et, only one function satisfies…

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Q: c) = = 4x + 1. If the limit does not exist enter DNE. ] lim h→0 ƒ(6 + h) − ƒ(6) h

A: Topic:- calculus

Q: Find the limit as k approaches infinity of 1+ 10* (a) 1 (b) 3 (c) 0 (d) e (e) 2

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Q: O Find lim (X,Y)→ LD,0) **+3y* or show it DNE.

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Q: 2sin?y 4) lim y→180° 1-cosy

A: Apply the limits and evaluate

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(9t), lim t-0 e5i +…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim t-0 eSi + sin(2t). -) +…

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Q: Choose the correct answer for the following limit So sin t3 dt lim 2 x4 (A) 1 Q1_V1_M (B) (C) 1 8…

A: Given:

Q: Vy? + 2 Find the limit: 1lim y+00 5y – 6

A: given,        limy→∞y2+25y-6

Q: |8x – 1|+ 2 (b) lim T→士o 7 – 4.x Hint: you will have to consider the limits at oo and at —00…

A: To calculate: limx→±∞ 8x-1+27-4x   Now, limx→∞ 8x-1+27-4x 8x-1 is positive when x→∞.  Therefore…

Q: Find the limit as t-➜0 of r(t)=

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Q: Find the limits by rewriting the fractions first.

A: Consider the following limit: limx,y→4,3x-y+1x-y-1=limx,y→4,3x-y+1x-y+1=limx,y→4,3x-y+1x2-y+12 Use…

Q: Find the limit: limt t→0⟨(e^5t)−1/t,t^11/(t^12−t^11),−7/8+t⟩ ⟨  ,  ,  ⟩

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

A: We have to find

Q: Find the length of the curve y 12z/2 - 4, 1 <I 2. %3D Find the limit of tl.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

A: To evaluate: lim(x,y)→(0,0)x+yx5+y

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

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Q: The limit as t—>0 of 5sin(2t)cot(6t)

A: The limit as t—&gt;0 of 5sin(2t)cot(6t)

Q: Find the limit, if it exists, or type DNE if it does not exist. (x + 18y)2 А. lim DNE (x,4)→(0,0) x²…

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Q: Find the limit of f(z) = (z - 2z + 4) / (z - 1 -i root(3)), as z tends to 1 + i root(3) i root(3) .a…

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim VX+1-3

A: We have

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

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Q: Find the limit. j+ tan(2t) k sin?(t) -3t i + lim t→0 e

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) t2 + 8 lim t -0o t3 + t² - 1

A: Here, we need to find the limit of the expression limt→ -∞ t2+8t3+t2-1. So,              limt→ -∞…

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

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Q: Find the limits, if they exist, or type DNE for any which do not exist. 2x2 lim (7,y) (0,0) x2 + 2y?…

A: For different different paths , we can find limit.

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

A: Formula used:A function f(x, y) is continuous at the point (a, b) if,

Q: Find the limit, if it exists: 11 sin(x? + y?) lim (1,y) → (0,0) ² + y? (Enter DNE if the limit does…

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Q: Let f(x, y) = 2*. Find fy(1, 2) using the limit definition.

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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: Find the limit. lim (e-4t i - j+ sin(6t) k sin?(t)

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Q: | ind the limit: lim,1+ i[(z – 1 – i)/(z² - 2z+2)

A: Find the Limit: limz→1+iz-1-iz2-2z+2 Solution:- limz→1+iz-1-iz2-2z+2=limz→1+iz-1-iz-1-iz-1+i…

Q: Please

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

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Q: Find the limit limit y tends to 2 ((y+2)/(y2+5y+6))

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 4 (1, 3) 2 C = 1 X…

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Q: Vx +1–4 lim I15 I - 15

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

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Q: Choose the correct answer for the following limit S sin t dt lim 3x4 (A) (B) (C) (D) (E) -4 (F) 12 A

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Q: e-²-y² – 1 lim (7,y)→(0,0) x2 + y²

A: To find limit using polar coordinates limx,y→0,0e-x2-y2-1x2+y2

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 6t + sin(8t) i + e-4°k lim…

A: To find the limit of the given vector function.