Evaluate f(-3+h) – f(-3) lim h0 h where f(x) = 6x² + 4. Enter I for oo, -I for -00, and DNE if the limit does not exist. Limit = -14

Q: find the limit of g(x) as x approaches the indicated value. 3x2 + 1 lim = X g(x)

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Q: Find the limit algebraically. ( f(-3 + h) – f(-3) lim h0 where f(x) = -3x2 + 2x + 9

A: Our objective is to find the limit algebraically.

Q: Find the limit. x+y-9 lim Vx+y - 3 (X.y)→ X+y#9

A: To solve the limit

Q: Find the limits by rewriting the fractions first.

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Q: Find the limit. 3e - 3 V1 + t - 1 4 lim 1 +t/

A: We have to find the limit of this Vector. If the limit 0/0 form, then we can use L' Hospital rule.…

Q: Q:: Find the limit for the following functions: - 2- lim 2r-3)(vI-1) 2x2+x-3 x-1

A: Factories the denominator and cancel out the common terms and put the limit .

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x² – 6x +7 -x² + 6x – 11 if…

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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. lim (x, y) -(1,-10) y#-10 y+10 x2y + 6y + 10x2+60

A: Given limit, lim(x,y)→(1,-10)y+10x2y+6y+10x2+60

Q: Q: Find the limit for the following functions: - 1- lim -2 X-4 x-4 (2x-3)(-1) 2x²+x-3 2- lim X-1

A: Please see the explanation below

Q: Evaluate the limit 3(y²1) lim y 4 7y²(y-1)³

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

A: The limit if the given functions are required to find out. limx→4x-2x-4 limx→1x2-2x - 3

Q: x² + x lim * + 2x + x³

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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: Find the limit (if it exists) lim                t2+t-2/t2-1 t-->1

A: First we factor numerator and denominator

Q: Find the limit (1+h)3 –1 lim h h→0

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Q: Find the limit: o-4t 6. lim t→0 4 – 13' 17 + t to

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Q: Determine the limit by sketching an appropriate graph. for x <4 S-3x - 4 8) lim f(x), where f(x) = {…

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Q: g4 – 2y² f (x, y) as (x, y) → (0,0 x2 + y2

A: Given that: f(x, y)=x4-2y2x2+y2

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

A: Given: limx→2fxfx=4-x  , x≠20,      x=2

Q: Find the limits 2 lim as (x – 1)2/3 a. x→0+ b. x→0 c. x→1+ с. d. x→F

A: Given function is fx=1x23+2x-123

Q: Find the form of the following limit and evaluate it. Vx +3 – V5 lim X+2- X - 2

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Q: Find the limit of the function lim x² 3x +2 X-1 X-A

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Q: Evaluate the following limits. If needed, enter oo for o and -oo for – 0o. (a) lim (– 40æ² – 36x³) :…

A: Given(a)limx→∞(-40x2-36x3)replacing limit=-40(∞)2-36(∞)3 as we know power of infinite is…

Q: Evaluate f(4+ h) – f(4) lim h0 where f(x) =5x +7. If the limit does not exist enter DNE. Limit =

A: f(x)=5x+7

Q: Use the new variable t = 64 +h to evaluate the limit. Enter the exact answer. V64+h-8 lim %D h

A: We can evaluate the given limit by substituting,  t=64+h  t2=64+hh=t2-64=(t-8)(t+8) Also, as h→0 we…

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x² - - 81…

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Q: 6) Use the graph of f to find the indicated limit and function value: y 3- 1-3-2-1 -2-

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Q: Find the indicated limit 2x lim(- VX +1 X>00

A: This question is related to limits, We will solve it using given information.

Q: Find the limit if it exists. Lim,-2 (Væ² +5)

A: Given Lt _x-&gt;-2   (√(x²+5))

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

A: Given that: limx→0nx+n-nx

Q: Q2: Find the limit r + 3 lim x-3 x + 4x + 3

A: We have to find limit

Q: Find lim x→9+ x – 9 Enter I for o, -I for -o, and DNE if the limit does not exist Answer:

A: Given query is to find the Indicated limit.

Q: Vx+15 - 2 is The value of the limit lim x--11 x+11

A:

Q: Given the function y = (x2 – 5x + 6)/(x-2), (x#2), find the left-side limit and the right-side limit…

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Q: Evaluate the following limits. If needed, enter oo for oo and -oo for –∞. 13x -- (a) lim ェ→ T0 11…

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Q: Evaluate the limit 3(y² – 1) lim y →2 8y²(y – 1)°

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

Q: Q1. Find the limit of the function if it exists x² + y² – 2xy lim (x.y)-(0,0) у3 — х3

A: We have to check whether the limx,y→0,0x2+y2−2xyy3−x3 exists or not. Convert the polar coordinates…

Q: Q5. Evaluate the limit Vx+h- Vx lim h-0 Vx+h+Vx in the two cases (i) x > 0 and (ii) x = 0.

A: Evaluating:                                    limh→0x+h-xx+h+x   In the cases:…

Q: Find the limit. V7 + h – V7 lim h→0 h

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Q: If V5 - 2r s f(x) < V5 - x for -1 sxs 1, find lim, 0 f(x).

A: Given: 5-2x2≤f(x)≤5-x2

Q: 4x2+5y²+- lim (x,y)→(1,-2) 4x²-5y2+e

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Q: Let f(x)=4x2 +6. Evaluate limh→0f(4+h)−f(4) / h Limit =

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Q: Q3: Find the limit for the following functions: - Vx-2 1- lim x-4 x-4 (2x-3)(Vx-1) 2- lim x→1…

A: Apply d'hopital rule

Q: Find lim f(x) for the given piecewise function. 2x +3 f(x) = { 5 -*+18 if x > 6 if x < 6 %3D if x =…

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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…

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Q: Q4)A) Find the following limits (for two only). x+1 1. lim X-1x2-x-2 1-Vx 2. lim X-1 1-x 3. lim x0…

A: Find the limit for the given function . We use for calculate value of limit L' hospital rule (When…

Q: Find the limit. 7) lim x-5' x - 25 A)1 B) 0 C) -

A: We can solve this problem using the concept of limit.

Q: For the function f(z) = 4x + 19z + 28, find f'(x) using the f(x +h)- f(x) definition lim O 8% O 38z…

A: Here we will find f'(x) using the given definition.

Q: Evaluate 5z +3 lim I 900 51+6 Enter I for oo, 4 for-oo, and DNE if the limit does not exist. Limit =

A: We need to evaluate the value of the following limit limx→∞5x2+35x4+6