limx-0 () O True O False

Q: lim x approchs infinity 5x/(4x^2 + 5x)

A: Given, limx→∞ 5x4x2 + 5x Takine x as common from both denominator and numerator and then cancelling…

Q: O Lim x+4 2 ズマー @ Lim Ja -I つく> -1 LimXー」 メテ ズ -1

A:

Q: tan-x 77. lim

A:

Q: lim b =

A: Given, limx→c b

Q: lim I00 5z2 3

A: According to convergence theorem, if ∑an converges, then limn→∞(an)=0

Q: lim X-1

A:

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: We have given a limit function;

Q: e2-1 Evaluate: limx→0 2x²+x 01 O ∞ 00 O None of the choices 02

A: The given limit is: limx→0e2x-12x2+x   As we know that; The Chain Rule: fgx'=f'gx·g'x

Q: lim x_q メ→タ x-3 X-9

A:

Q: Lim X-o413-xl-1 76-JC

A: Evaluate the limit.      limx→416-x23-x-1

Q: lim x-1 (+2 メ→ト

A:

Q: n is not a negative integer Given n ≥ 0; justify that limx->∞ fn (x) / ex = 0

A: The limit of the given function goes to zero as the exponential function goes faster to infinity…

Q: lim x → 0

A: →When limit is of the form 00 or ∞∞ then we use L'Hospitals Rule  →In L'Hospitals Rule , take…

Q: sinx-0.5 I| lim- X- 6 Select one: True False ||

A:

Q: limn o →0 9-h-3 h 1 6

A: We have to solve above question and find limit

Q: 4. Evaluate: lim (a² + e-*)(= cac r) エー→0+

A:

Q: lim x+1-1

A:

Q: 2x - 4 Evaluate lim x+2 x2 - 4 x² – 4 O a. 0.75 O b. 0.25 O .1 O d. 0.5

A: Given: The given function is, limx→22x-4x2-4 The objective is to evaluate the given function using…

Q: lim Va-1 х-1 х+1 х-1

A:

Q: lim x16 x → 0 x2 – 2sinx +2x O 272 O 240 о 1

A: we will solve this using L'Hospitals rule.

Q: a) Using the definition, show that lim 0. 7n +8 n-00

A: Multiple questions are asked, I am answering the first question.

Q: csc z) Evaluate: lim (x² + e¬®)@¯

A: The given expression is limx→0x2+e-xx-1cscx.

Q: sec x lim Evaluate 2.

A: Our Aim is to evaluate the limit of the expression given below:-limx→π2+ sec (x)x-(i)

Q: Snsh-2h Lim

A: To find the limit

Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

Q: メ*+リ tyz Evaluate limxy)(0,0) x²+ x* +y? 十4-2

A: It's a fairly standard evaluation of the limit: Multiply the numerator and denominator with the…

Q: lim Vxe 2

A: Given query is to find limit of the expression.

Q: lim x2 + 4х + 3 X→-1 1 O 2

A:

Q: cos2x - 1 Evaluate lim x +0 ex – x - 1

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Q: lim x - Vx2 +x x+00

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Q: lim V3x-a X+Q X -a +a

A: Answer

Q: 2x -4x Evaluate limn x-4

A:

Q: lim X→0 xsinx 1 1

A:

Q: lim x?e- X00

A: Given

Q: 2 (x²+3) – 3 1- lim, 0 x²

A: limx→0(x2+3)-3x22

Q: X+ 1 Evaluate lim x→1* ** - 5x +4• | O-1 OO OO

A:

Q: lim xex

A: The given expression is,

Q: lim x-x6-x O +∞ 00 ∞- O O 3 1 2 ||

A: topic - limits

Q: x-27 3√√√x-3 6. limx→27 3 O True O False is 27

A: The given problem is evaluate the given limit and check the given answer is True or False. We have…

Q: lim x? O1 -25 25 -1 ||

A: The detailed solution is given below Thank you

Q: メイイ lim X o X²

A: We need to find the limit

Q: lim Xx→21

A: We solve this limit by substitution We plug x=21

Q: VI+x-VI-x Evaluate limx→0

A:

Q: lim xx→9

A: We solve this limit by substitution We will plug x=9

Q: lim x² = 0

A: We can prove the statement in the below steps.

Q: Find the limit

A:

Q: 3x-2 lim 00 has 2x+1 O value 3/2 no value O value -2 O value 1

A: We have to find the limit: limx→∞3x-22x+1 This is ∞∞ indeterminate form. Simplifying the limit to…

Q: lim (In x) =? x→1

A: