19) Find lim f(x) %3D 19) X2 + A) 2 B) – 2 C) - 4 D) - 8 20) Find lim f(x) 20) X 2

Q: 2. Select the best answer below: lim (2x-13 X (-1)* O -2 O does not exist

A: We have to find the limit and select correct option

Q: Suppose that lim 4f(x)+ 2x – 14 5. Find lim f(x). z→1 %3D z→1 x – 1

A: Given

Q: b* – 1 Show numerically that for b =3 and b = 5, lim appears to equal In 3 and In 5, respectively.

A: Here given

Q: Determine the value for c so that lim f(x) exists. X-4 x2 - 9, for x4 The value of c is

A:

Q: What is lim f(z) z→1 9(2) given f(x) = e2" and g(x) 3x2 – 3x + 6 ?

A:

Q: If (x, y)lim(2, 3) f(x, y) = 4, can you conclude anything about f(2, 3)? Explain.

A: Assume the function z = f(x,y).First observe the value of the limit for x followed by y.

Q: The value of the constant k such that .2 k x +7 lim exits is X - 1 X → 1 7 - 7 -8 -6

A:

Q: Let f(x) = 3x + 2. Use the € – d definition to prove that lim 3x +2 1. x→1 Definition. E-d proof.

A:

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

A:

Q: 5. What is the sign of the coefficient multiplying x' if f is a polynomial of degree 7 such that lim…

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Q: a. Using the Sandwich Theorem to find: lim f (x) If v5 – 2x2 <f(x)< V5-

A:

Q: ,3 Find lim (x,y)→(0,0) x² + y² °

A:

Q: r+ 2 Calculate the limit lim 1-2 x2 – 3x – 10°

A: By using L'hopital's rule, we find the limit of the function.

Q: If lim, » 1512i (z2 + 30z) = x + iy, what is the value of a

A:

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

A:

Q: Find the limit: 4x4 – 4y? lim (r,y) → (4,4) x² – y?

A:

Q: Find the value of lim f(r), if f(x)%3D 8r +4 3 z-3+ O 12 O 19 O 34 O 35

A:

Q: Find lim (√2-t, et-¹, In(t + 1)) t-0

A:

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

A:

Q: Which property of f(x) = x' allows us to conclude that lim x = 8? x+2

A: f(x) =x3

Q: Use the e-d definition to show that lim /a = 2. a-b (Hint: Vā – V6 =

A:

Q: メ-D4 xー12 In do torminate Form Lim | १ - 3

A: Given:   Limit equation is given

Q: swer of the following lim 2x²+6y² lim (x,y)→(0,0) x²+y²

A:

Q: Find the limits: Vx - 1 lim х>1 х — 1 a. 2x3 b. lim х- оо 3(х-2)2 2x3 с. lim х-2 3(х-2)2 x+1 d. lim…

A: Since there are multiple questions posted, we will answer the first question (1). If you want the…

Q: Using the ɛ, & definition, prove that lim V = 1. %3D x 1

A: We have to prove the given limit.

Q: 2. Use Squeeze Theorem to find lim,x f(z), if for all z >4 6e - 15 < {(x) < VI- 2 2e

A:

Q: Show that 16x4+9y12 lim (x,y)→(0,0) 4x²+3y6 does not exist.

A:

Q: Using tables of values, estimate   lim 3x

A:

Q: 18) Find lim f(x) %3D X 2 - A) – B) 2 00 C) 1 D) 4

A: Topic = Limits 18) B

Q: ow that lim (x,y) → (0,0) 4 3x² + y² 5y does not exist.

A: To show that limit does not exist.

Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

Q: 2.) Evaluate the one-side d limitss lim Jx+7 = メラー7 lim xキ7 - メーマー7+

A:

Q: Suppose that limx→ -2 p(x) = 4, limx→ -2 r(x) = 0, andlimx→ -2 s(x) = -3. Find x→ -2 p(x). r(x) .…

A: Suppose that limx→-2p(x) = 4, limx→-2r(x) =0, and limx→-2s(x) =-3.

Q: lim (x,y)→(0,0) x² – y? x2 + xy + y? II

A:

Q: V1+3x-1 lim Answer: 1 %3D

A:

Q: Use the e-d definition to show that lim x2 I→2

A: In this question we will use basic of calculus i.e basic of limits. We will simply find the limiting…

Q: 10. lim 2-と is A. -1

A: we have to find the value of the given  limit  lim    x→-∞2-x2x

Q: Determine the value for c so that lim f(x) exists. x-3 f(x) = 5**, *+c, for x 3

A:

Q: Evalnate the fo llowing limits 1. lim 4x-5x+1 メ→ -4x? 2. lim I x²+5x -6 X- 4 lim (1x-7)* 3. 2.

A:

Q: Is it possible to find numbers a, b and c so that an lim n+0o bn3 + cn erists but not equal to 0?…

A: Consider the function:

Q: Q.4: Prove or disprove, lim f(x) = 4 If f (x) = } x # 2 x = 2 x→2 2.

A:

Q: Determine the value for c so that lim f(x) exists. X→3 1 f(x) = 3*+c, for x3

A: Given that,

Q: It was determined that the lim f(x) = 0 and f(2) = 0. Can it be concluded, definitively, that f'(2)…

A:

Q: 2) G VALUATE THE UMIT, IF IT EXISTS. Lim X-3 x2-X-12 uT x²+ 3x 2)

A: Given:         limx→-3x2+3xx2-x-12   Factoring                   =limx→-3xx+3x-4x+3

Q: Use the –δ definition to prove that lim x→1 (3x + 5)/2 = 4.

A:

Q: ƒ (₂) If lim fx x-0 = L then which of the following must be true?

A:

Q: The value of the constant k such that x²– kx+6 lim exits is X→1 х—1 б -6 -7 7 -8 8.

A: 1). From the given problem:   fx=2x+14   From the power law:   dxndx=nxn-1.   So,…

Q: lim(x,y)->(0,0)  (4x2y)/(x2+y2)1/2

A: Given: lim(x,y)→(0,0)4x2yx2+y2         (1) To compute: The limit.

Q: Given that f(x)={kx2+2,≤22kx,x>2. If limx→2f(x) exist, then k equals.

A:

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

A: