Find the limit (if it exists). (If an answer does not exist, enter DNE.) Sx2 - 4x + 6, X < 3 lim f(x), where f(x) X→3 -x² + 4x – 2, X 2 3

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) Vx +5 - V5 lim x-0

A:

Q: Find the limit, if it exists, or show that the limit does not exist. x² - 3y² lim (x,y) (0,0) x² +…

A:

Q: Find the limit. (If the limit is infinite, enter 'oo' or '-o', as appropriate. If the limit does not…

A:

Q: Find the indicated limit, if it exists. (If an answer does not exist, enter DNE.) 6x4 - 3x2 + 4 lim…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→∞  √(x+3x^2)/2x-1

A:

Q: Find the limit. (If an answer does not exist, enter DNE x + 1 – 2 lim x→3 X - 3

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 9- xy lim (x, y) (1, 2) x² +…

A:

Q: Find the limit of the exercise below.

A: Factor the numerator using a^2-b^2=(a+b)(a-b) formula. With a=t and b=4

Q: Find the limit by rewriting the fraction first х-у+13x- 13/у lim Vx - Vy (х,у) -> (0,0) x+y

A: First of all break the fraction then apply limits

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

A:

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

A: Given limit is: L=limx,y→0,0xy4x2+y8 Let y = mx.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3 lim t→0 - t2 + t

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) xy8 lim (x, y)→ (0, 0) x³ +…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) |r – 3| lim I+3+ x - 3

A: The given limit is, limx→3+x-3x-3

Q: lim (x, y)→(0, 0) xy4/x2+y8

A: Given limit  L=limx,y→0,0  xy4x2+y8

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 4x6_ X lim x →∞0 x³ +9

A: We need to evaluate the following limit limx→∞4x6-xx3+9

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

A: We have to find

Q: lim f(x) = 81 (a) VF(x) (b) [3f(x)] (c) [f{x)]²

A: Using rules of limits.

Q: Compute the limit or state that it does not exist. (If an answer does not exist, enter DNE.) (2x +…

A: Please refer the attached image for complete solution.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 6 – Vx lim x→36 36x – x-

A:

Q: Find the limit, if it exists, or show that it does not exist: x² – y? lim (x,y)→(1,1) x³ – y3 '

A: Explanation of the answer is as follows

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) Vi + t2 lim t- o 9t - t2

A:

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

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) +6 - уб lim (x, y)→ (0,0) x3…

A:

Q: x2+ cx+c+5 # 11. The limx→-42+5x+4 exists. What is the value of "c"? What is the value of the limit…

A:

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

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax-0 I

A:

Q: Find the limit (If It exists). (If an answer does not exist, enter DNE.) (x² - 4x +18, -x² + 4x -…

A: Put the condition for existence of a limit and cross check.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE 2 2 lim t-0t t2 +t

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x²yeY lim (x, y) (0, 0) x4 +…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x – 1 lim x- -0 x2 + 5

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) [1/(8 + x)]- (1/8) lim X→0 X -1/64

A:

Q: Q5: Find the limits of: Vx +n - Vn lim n-

A: Given that: limx→0nx+n-nx

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (x2 - 4x + 6, l-x? + 4x –…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim xy (x, y) (0, 0) x2 + y8

A:

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

A: Taking t2 common from both numerator and denominator

Q: Find the limit (If it exists). (If an answer does not exist, enter DNE.) Im 2 X-3+x+3

A:

Q: Find the limit, if it exists, or show that the limit does not exist. 2 x² - 3y² lim (x,y)→(0,0) x² +…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x²yeY (x, y) → (0, 0) x4…

A:

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

A: on solving this we get the

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x + V x2 + 8x

A: Given

Q: Find the limit, if it exists, or show that the limit does not exist. 3x²+2y2 2x*y+2 a) lim…

A: now , we will find the limit .

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

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 - 4x + 18, l-x2 + 4x -…

A: Detailed explanation mentioned below

Q: If xz? f (x,z) = x² + z4 Does limr2)a(0.0) f(x, z) exist? Find the limit if it exist.

A:

Q: Evaluate the limit *dx – x – 4aª lim 3 A) В) 1 C) D) 4 E)

A:

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim h-3 (h2 + 4h + 3)

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (t + Δ)2-3(t + Δ) +…

A: The derivative of the function is calculated as follows.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (x2 – 4x + 6, 1-x² + 4x –…

A: Here we find limx→7fx       where fx=-x2+4x-2, x≥7x2-4x+6  x &lt;7if it exist