a- Find the limits of the functions below: 7x3 - limx→0 3-3x²-6x x+2 limx--2 Vx²+5-3

Q: Find the limits in Exercise

A: Given: To evaluate the limitslimy→2 y+2y2+5y+6=?

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

A:

Q: Find lim x→-∞ ex + 1° (а) — оо (b) ∞ (c) 0 1 (d) 2 Does not exist and has no infinite behavior

A:

Q: Evaluate the limit of 6/x^2 as x approaches 0

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Q: Evaluate the limit of x approches 0 on the function (2e^(9x)-2)/(7x)

A: The given limit of the function to be evaluated is,

Q: find the limit or explain why it does not exist. 1 - Vx lim 1- x

A: we have to find the limit . limx→11-x1-x

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

A:

Q: Evaluate the limit: 2x – 6 lim I+3 r2 + 2x - 15

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Q: Use the limit definition of the deriviative to find f'(x) if f (x) = 3x2 – 2x + 4

A:

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: Evaluate the limit 7(y² – 1) - lim 3y²(y – 1)3 y→2

A:

Q: Find the limits lim 1 as 2 – 4 а. х— 2+ b. х— 2 с. х— -2+ d. x→-2

A: Given, lim1x2-4 (a) x→2+→2+h, h→0 limh→01h2+4+4h-4 limh→01h(h+4)→∞ (b) x→2-→2-h limh→01h2+4-4h-4→∞

Q: Use l’Hospital’s rule where applicable to find the limit.

A: Given,

Q: Use L'Hospital rule to find the limit. lim (Vx2 – 6x – x) -

A: If f(x)g(x)is of the form 00 or ∞∞, then limx→cf(x)g(x)=limx→cf'(x)g'(x)

Q: Find the limits in Exercise

A: Given: limx→∞ x2+3x-x2-2xTo evaluate the limits?

Q: bAL UATE LIMIT: 3x - 2x ズーラ- z +22+8 lim 3x え→ D

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

Q: Use the Squeeze Theorem to find lim f (x), given that 2 - |- 8| < f(1) < 2+ |r – 8|.

A:

Q: Find the limit: Vx – 14 lim x → 196 196 - Give an exact answer or keep at least three decimal…

A:

Q: Find the limit. 2 lim (2x - V4x - 3x + 2) O A. - 0 В. -2 С. О 3

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

A: limx→4-x-2x-4

Q: Find the limits of the functions lim メ>- (6lim x 2. xペー 2x+4

A:

Q: Evaluate the limit: 6x 12 lim I> 2 r2 + 3x 10

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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 limit of the function 2x-1 ists): lim 2r-x x0.5

A:

Q: Find the limits lim (Vr + 3x V – 2x) X 00

A: We have, limx→∞x2+3x-x2-2x The above limit problem is of ∞-∞ form.

Q: find the limit of x^2/1-4x^2 as x approaches infinity

A:

Q: Find the limits. Write ∞ or -∞ where appropriate. limx2 - 3x + 2/x3 - 4xas x→ 0-

A: First let's write the limit properly to understand what's going on.

Q: b) limx-2+ 72-4 x²– 4

A: To evaluate: limx→2+x-2x2-4

Q: Use a u substitution to find Vx – 7 – 2 lim | x-15 x – 15

A:

Q: Find the limits by rewriting the fractions first.

A: To find the limit limx,y→2,2x-yx4-y4 Solution: The given fraction can be re-written as:…

Q: Find the limit. If the limit does not exist, explain why. Vx-/2y lim (x,y)→(4,2) x-2y

A: Factories the denominator term and cancel out the common from numerator.

Q: b) lim (1 +2x)³A * x=0

A:

Q: Consider the function f(x) = √x.  Is limx 0 √x = 0 a true statement? Explain.

A: Given: The function f(x)=x Statement limx→0 x=0 We have to determine the given statement is true or…

Q: Find the limit. (If you need to use -o or ∞, enter -INFINITY or INFINITY.) r3 + 5x lim x2 + 4 -

A: evaluate the limit

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

A: Given Lt _x-&gt;-2   (√(x²+5))

Q: Q5/ Find the limits : 1- limp-0 3 V3h+1+1 x-1 2- lim-1 Jx+3-2

A: We have to evaluate the limits of:limh→033h+1+1limx→1x-1x+3-2

Q: Find the limits t +3 a) lim (4x3 – 3x² + x – 85); b) lim, t+2 t+1 ; c) lim x +0 1-V1+7x ; d) lim (7…

A: We can solve these problems in this way

Q: Divide numerator and denominator by the highest power of x in thedenominator and proceed from there.…

A:

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: Find the limits by rewriting the fractions first.

A: Given limit is, lim(x,y)→(1,1)xy-y-2x+2x-1

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

A: limx→4-x-2x-4

Q: Find the limit or show that it does not exist. V1+4x6 (1) lim x- 2- (2) lim (V9x2-5x+3x

A: 1. limx→-∞1+4x62-x32. limx→∞9x2-5x+3x

Q: Find the limits

A: Let the given limit be y - y = limx→0 7+sec2xPutting x = 0, to find the limit - y = 7+sec20y = 7+12…

Q: Use the graph to compute , lim f(x), x+3 -6 -4 -2 2 2.

A: Find the Limit of the function

Q: Find the limit of the function algebraically. x2 + 2x lim

A:

Q: Use limit definition to find f'(2) for the function, f(x) = 3x? – 4x + 1-

A: fx=3x2-4x+1 substitute x+h for x fx+h=3x+h2-4x+h+1 fx+h=3x2+2xh+h2-4x-4h+1 fx+h=3x2+6xh+3h2-4x-4h+1…

Q: Evaluate the limit using the method of your choice that is not only u ne function: Vt2 + 16 – 5 lim…

A: We will find the limit

Q: ) Evaluate the function  f(x) =x2   -(2x/1000 )for x=1,0.8,0.6,0.4,0.2,0.1 and 0.05 and guess the…

A: Given function, f(x)=x2-2x1000

Q: Find the limit of f(x) = 4x+8/7x+3 as x approaches infinity and as x approaches negative infinity.

A:

Q: Use the definition to show that x² - y² lim (x,y) →(0,0) x² - y² 0.

A: