-3x3 Evaluate lim Зд3 — 42 + х — – 10 - -

Q: Prove rigorously that lim (4 + 8x) = -4. X-1

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Q: Evaluate the limit: lim (2z³ – 32) =|

A:

Q: Suppose lim, =1. Prove that lim -(-1)* = %3D

A: Given: limn→∞ an=1To prove: limn→∞ 1n ∑k=1n -1k a2k=0

Q: Evaluate the limit /8 + 10x² lim 10 + 3x

A:

Q: Prove that limxS2 ƒ(x) = 4 if

A: Given that : The function is f(x) =x2,    x≠21  ,    x = 2 .

Q: can this be evalnated by using L'HOSpital's Ruie? lim Trxln(x) Itxen(x) (メ-)nx

A: The given limit can we evaluated by using algebra of limits.

Q: Prove the limit statements [4 16x – 4, — 2х, - 2x, lim f(x) = 2 if fx)

A: Given: limx→1f(x)=2 if f(x)=4-2x,    x<16x-4,    x≥1

Q: 10- 0+ 10

A: given,

Q: Evaluate the limit. 23-9x lim 3x2-6x-9 0. -9 3 1/9

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Q: Evaluate the limit: lim 2x2 cos(3x) 2

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Q: Evaluate the limit: lim 7x2 cos(2x) - 7

A: we have to evaluate , limx→-π77x2cos(2x)

Q: 5. Use the Squeeze Theorem to evaluate lim sinz 1-00

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Prove the limit statement 23) lim (5x - 1) = 19 X4

A: Substitute the variable with the value.

Q: Find the lim inf (xn) and lim sup (xn) of Xn=3-(-1)"

A:

Q: Prove that lim(4x² – 25) = -9 X-2

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Q: Use the definition to show that 4n – 5 lim 2n + 3 - 2. n00 3.

A:

Q: if f(5) = 4, f'(5) = 7, then lim of (f(x²+1) -4)/(x²-4) = ?? when x goes to 2

A: Please see the answer below.

Q: Evaluate the limit limx→∞ √3+11x^2/3+10x

A: Given, limx→∞3+11x23 + 10x Divide the numerator and the dinominator with x, limx→∞3x+11x23x + 10x…

Q: You are not allowed to use L'Hospital's Rule 2x2 – 32 - lim V3x + 4

A:

Q: Prove rigorously that lim (4 + 8x) = −4. x→−1

A:

Q: Prove the limit statements

A: To prove limit statement limx→33x-7=2 Solution: Solving the limit: limx→33x-7=3·3-7=9-7=2 Therefore,…

Q: Q4) Prove each of the following: V12-- 1- Prove that lim -7 3 VO-3 2-If y - (tan3x)" prove that -…

A: Given: 1) limx→3(12-x-x6+x-3)=-7 2) y=(tan3x)2x, dydx=(tan3x)2x(6xsec23xtan 3x+2ln(tan3x))…

Q: Prove that lim [V4n² + n – 2n] = -

A: Use rationalize to solve

Q: (In x)² lim

A:

Q: Evaluate 1- lim sırx

A:

Q: Evaluate the limit. Vx2 + 3 lim 3x2 + 1

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i…

Q: 9:Use quantifiers to express the statement that lim an=

A: A declaration whose truth value may depend on the conditions of some variables. For example,…

Q: Prove that lim(4x2 – 25) = -9 x-2

A: First we use the formula a2-b2=(a-b)(a+b) then put the limit.

Q: Prove that lim5 (x2) = 25

A:

Q: Suppose that the lim x2 flx)- Which of the follomng State ment cannot be true ?

A: We have to find which of the following statement can't be true.

Q: Prove lim-13x+2=-1

A:

Q: <2+3х-1 1| а. lim

A: Given: L=limx→0x2+3x-1x-1x For evaluating given limit, we put x=0 in given expression

Q: 3. Determine the following limit. () 2-x2 – 1 lim 3. x--00

A: We need to evaluate the value of the following limit limx→-∞3e22-x2-1

Q: Prove that lim -- (x + 1)

A: we have to prove that: limx→-1-5x+13=-∞   L.H.S:…

Q: * the limit of .7 213 lim- 5x² + 4x – 6 6x + 2x - x00 Not Exist O

A:

Q: In(4x+3) lim 8x+7

A: Given: limx→∞ ln(4x+3)8x+7 The highest power of the denominator is 1 Divide each numerator and…

Q: 37. Prove that lim x2 = 25

A: The given function is

Q: Evaluate the limit: 4(22 - 1) 3x (x – 1) lim |

A: Given : limx-&gt;4 4(x2-1)/3x2(x-1)3

Q: Find the limit. 28x-7x lim x4 x→4 2-x 2. 28x- 7x lim 日 x→4 2- Vx (Type an integer or a simplified…

A: The solution are next step..

Q: 4. Use the &, 8 definition to prove that lim (4x-1) = -9.

A:

Q: Evaluate the following limits: z² + 4z – 12 z² – 2x 3. lim

A: 3) To evaluate the limit: limx→2x2+4x-12x2-2x

Q: 53. Show, for f(x) = 3x2 + 4x over [0, 2], that ( 12j², 8j Σ%) RN N2 Then evaluate lim RN.

A:

Q: please help thank you

A: We need to prove the given statements, which are,

Q: Evaluate the limit 16 — а - lim a → 16 4 – va

A:

Q: Show that lim n2 +00

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Q: 2. Prove that 3 lim 0. (HINT: This proof needs a ɛ-M type argument.

A: To prove that limx→∞3x=0

Q: Prove that limit x  3   (4x-5) =7

A:

Q: evaluate the limit lim (3x^4 − 2x^3 + 4x)x→−1

A: We substitute x=-1 in the given expression

Q: 7. Evaluate the limit: 9x2 -2 lim 2 3x 2 x-3

A: To evaluate the limit:limx→239x2-22-3x Solution: It is 00 form. We will use L-hospital rule. In…