x2 +1 Can L'Hôpital's Rule be applied to lim x→1 2x + 1

Q: lim_(x->1^(-))f(x)={x^(3)+9,x<1}

A: To find: limx→1-f(x)where f(x)=x3+9, x&lt;1. Calculation: We need to find the left hand limit of x=1…

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

Q: 3- Vx Determine lim- x+4 x-9

A: Given limx→43-xx-9

Q: lim                                          (9x/(9x+8))^9x x approaches  infinity using…

A: Given, We have to calculate the limit.

Q: Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

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

Q: 1. limx→1 x-/2-x2 x4+3x3–13x²-27x+36 2. limx-1 x²+3x-4 3. lim,1- V1 – x 3x3-x²+1 lim

A: In this question we will use basic of calculus I.e concept of limits. Solution of the above question…

Q: 1. limx→4 4x-x² 2-√√x t²+3t+2 2. limt-1 2-t-2

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Q: 9x +1 lim x - 1 V1+x-1 lim x-0 lim 2x2 + 3x lim x05x2 - 2x Dr ohammed Jas

A:

Q: Evalugte lim(3x-1)/x Xー>○ X/2

A: The solution is :

Q: The process by which we determine limits of rational functions appliesequally well to ratios…

A: Solution:Givenlimx→∞ x-34x2+25To find the limit valueFormula:ab=ab

Q: 2 tan(x)–2x Use L'Hopital's rule to find f (x) = lim 5x3 Note: Retain any fractions in your answer.

A: f(x) = lim(x-&gt;0) (2tanx - 2x)/ 5x3 If any limit takes the indeterminate form 0/0, we can use L'…

Q: 2х + x 1. lim

A: Consider the limit  limx→02x+xx

Q: 1) lim (2x – 3) = 1 x-2 2) lim|x| = 0 x²-9 3) lim х-з х-3 9 3

A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

Q: x²-4 How come lim x-2 x-2 cannot be evaluated using the quotient limit law? How come lim Vx – 2…

A:

Q: What are limx→+-∞ k (k a constant) and limx→+-∞ (1/x)? How doyou extend these results to other…

A: limx→af(x)=L means f(x) becomes arbitrarily close to L as long as x is sufficiently close to a.  We…

Q: 1 lim x→11-x .3 —х 1-х*

A:

Q: 1. lim (x2 - 2x - 3) x-5 2. lim () x-2 x-7, 3. lim (Vx + 15 ) x-10

A: Functions are given, we have to find its limits Note: we are answered with 3 part only. please…

Q: Numerically estimate accurate to 2 decimal places of lim x -> 0 ((2^x -1)/(x))

A:

Q: 2 2- limx-1 sin(x3-1) x-1

A:

Q: 1. lim→- Зx? (2х - 1) 1 + 4x + 3 9. limx--3 x2- 3 2.

A:

Q: Give an example of a function that is not continuous at x = 2 but limx→2 f(x) = 1

A: choose any equation of line such that f(2)=1 but the function function f(x) should be discontinued…

Q: lim x In(2x) x→0+

A:

Q: 3. Evaluate: lim -) X-0 sinx

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Q: lim (In x) x→0+

A: Given,          limx→0+lnx

Q: 1 f. lim-( x-→0 x`x+2 2 (1+x) -/ g. lim

A:

Q: lim x approaches 1  .... [(x^-1) - 1]/(x -1)

A: Consider a limit limx→afxgx. The conventional evaluation of the limit sometimes lead to…

Q: d- lim x+1 /V2x²+x+1

A: First take x common and then use l hospital's rule to find the answer.

Q: lim x approaches 2  .......... [x2 - 7x + 10]/[ x - 2]

A: Given :                     limx→2 x2 - 7x + 10x-2

Q: By L'Hopital's Rule, X-2 lim x→2 X²-1 1 1 lim. = x→2 2X 4

A: L’Hospital’s Rule: Suppose that  limx→a f(x)g(x)=00  OR  limx→a f(x)g(x)=±∞±∞ where a can be any…

Q: Lim 1 - - x + n x х — 1 x' - 3x + 2

A:

Q: lim (In x)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1,0 1,0

A: limx→a f(x)=L if and only if limx→a+  f(x) = limx→a- f(x) =L.

Q: 1:3.5. - - (2n-1) now lim lim (n+1)! 1.3. 5-- - (2n-1)

A: Step1: Here to calculate the limit we value we have used the limit ratio test , where we the given…

Q: Evaluate

A: The limit of a function at a point is the value the function tends to as x tends to that point. For…

Q: 1. Using L'Hospital's rule, evaluate lim(1 – x²).

A:

Q: 34. lim 2-x 35. lim vx -x 36. lim vx-x 140

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Q: 2- x - sinx 1. lim x00 x + cosx x*+2x-1 2. lim-0 x3-2x2+x

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Q: find lim x-> infinity (V 4.x +x + 2x) or show it does not exist. cannot use l'Hospital's rule. must…

A:

Q: lim (In(x))/x

A: We use L'Hospital rule to evaluate the given limit.

Q: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

A:

Q: 6. lim x2 - 5х + 4 x→-2 3-Vx+6 8. lim х-з х+3

A: Limit properties: limx→afx±gx=limx→afx±limx→agx limx→afxgx=limx→afxlimx→agx limx→acfx=c limx→afx

Q: 1 lim 2 -1 x* -1,

A:

Q: 1 1 i] lim 2 1--3 x-2 ii] lim- x-* 2x-6

A: Apply put the limit and solve it

Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

A:

Q: x' -x+1 Evaluate (iii) lim 5x' +7 and show work

A: The given limit can be evaluated by taking x3 as common from numerator and denominator

Q: Find the limit.

A: Given,

Q: -2x - 4 f) lim x--2 x + 2x ut | g) lim u-1 u3 1 4х — х2 h) lim x-4 2 - Vx Ya

A: As per our guideline we are supposed to answer only first three subparts. Kindly repost other parts.…

Q: X-2 lim = 2 a. By L'Hopital's Rule, x→² X²-1 1 1 lim = x→2 2x 4

A: