True or False: If false, explain why. If lim, 1 f(x) = 3 and lim,1 9(x) = 4, then lim,1 f (x) + g(x) = }.

Q: lim x approaches 4  ...........  (4 - x)/[5 - (x^2 + 9)^1/2]

A: Givenlim x→44-x5-(x2+9)1/2

Q: Limx-->9 = X -9/ (X)1/2 -3

A: We will first cancel out the irrational factor at the denominator. And then we will check if the…

Q: Find the limit.

A:

Q: 4-x lim,.

A: The given limit is limx→∞4-xx

Q: lim x approaches 2 (-x^2 + 5x - 2)

A: Given, limx→2-x2+5x-2 To solve the above limit.

Q: lim x---2, x2 - 4/x - 2

A: We have to find the limit: limx→2x2-4x-2 This is 00 indeterminate form of the limit. Rewriting the…

Q: х3+x2- х-1 The value of lim -is the same as x3 - 3x- 2 X+ -1

A: Let's find.

Q: lim x approaches 1/2 .............. 4x(3x + 4)^2

A: Consider f(x)=4x3x+42=4x9x2+24x+16=36x3+96x2+64 As f(x) is a polynomial, it's continuous on ℝ,…

Q: limx-> f(x)=3    find limx->1((f(x))2+2)

A:

Q: Does lim—>1 exist? Does lim—3 exist? Are they continuous? Discontinuous?

A:

Q: lim x approaches 2 .............. 2x + 5/[11 - x^3]

A: here we have to find the limit.  A=limx→22x+511-x3

Q: 2-Lim メ→」 X'+ 3 X²-5

A: Our Aim is to evaluate the limit in the expression given below:-limx→1 x4+3x2-5 -(i)

Q: lim x approaches 2/3 .............. (8 - 3s)(2s - 1)

A: We have to find the limit: limx→238-3s2s-1 This is determinate form of limit so we just have to put…

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: If lim f(x) = 15 and lim g(x) = 25 then x5 x5 lim 3f(x)g(x) –- 6] = x5

A: Given that limx→5 fx =15  and limx→5 gx=25 find limx→5 3fxgx-6=?

Q: lim == - 1

A: The objective is state whether limz→0zz=-1 is true or false.

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

A:

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

A:

Q: lim (In 2x + 5) + 4 X-1

A: From the given problem:   limx→-1ln2x+5+4   As we know that:   limx→afx±gx=limx→afx±limx→agx

Q: 5- V4 +3x (3) lim ズ→7 7- x

A: The given function is limx→75-4+3x7-x

Q: what is the :lim x→-2 (x^2 +3x+1)/x+2 is ?

A: Consider the following limit: limx→-2x2+3x+1x+2 Left hand limit: The function grows without bound:…

Q: 3 x' tan (x) lim - 3 4x* + 2х-1

A:

Q: 2x lim x→9- 4-/25-x

A: This question is related to limits, we will solve it using given information.

Q: 2) Lim Lim / 9x +! オー→。 20- Xー1 Lim Vitx-l 父 ->6

A:

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

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

Q: (a) Estimate the value of                 ___________limx->-∞(√ x2 + x + 1  + x)   by graphing…

A: Given f(x)=x2+x+1+x

Q: ■ Find the limit.

A: Given- limx→12-xx-12 To find- The value of the above limit.

Q: lim x---5, x - 5/x2 - 7x + 2

A: Given: Let y=limx→5x-5x2-7x+2 To Find: To evaluate the given limit.

Q: lim x---q x2/2x

A: limx→ qx22xPlug in the value x=q=q22q=q2

Q: lim x approaches 6 .............. (x^3 - 2x^2 + 4x + 8)

A: We need to lim x approaches 6 .............. (x^3 - 2x^2 + 4x + 8)

Q: True or false? if lim fcx) exists but Lim gx) does DぐX not exist, then lim. fox)+gox)) does…

A:

Q: 5x-3 – 4 | (i) Lim x-0 2x-2 +9 (x – 3)2 (ii) Lim X00 x2 2х — 3 2

A:

Q: using L'Hospital's Rule, what is limx->1+ (1/x-1) - (1/lnx)

A: compute the limit as follows.

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

A:

Q: Suppose that ƒ is an odd function of x. Does knowing that lim x-->0+ ƒ(x) = 3 tell you anything…

A:

Q: Suppose limx →4 ƒ(x) = 0 and limx →4 g(x) = -3. Find lim x →4 xƒ(x)

A: It is given that limx→4fx=0 and limx→4gx=-3.

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: 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: Find the limit

A:

Q: Find the limit

A: Since, we have to evaluate the function given below:-limx→0 2+x-2x-(i)Since, on applying limit in…

Q: What exactly do lim, »∞ f(x) = L and lim,_-∞ (x) = L mean? Give examples.

A:

Q: 7 lim 『ストフ-2 X + 3 メy-3-

A:

Q: 25+x-5 4-limx-0

A:

Q: If lim x→5+ f(x) = 11 and lim x→5− f(x) = 23, then what (if anything) does that tell you about…

A:

Q: True or false? (x43x-4) lim (x²+2x-3} lim x²+3X-4). ²+2x-3 lim メ(

A:

Q: 8. find limx>2 x-2

A: We have to find the value of limit

Q: If lim )-s X-2 x-2 S(x)-5 = 4, find lim f(x) X-2 Hint: Use the fact that lim f (x) (x - 2) = 0 and…

A:

Q: answer does not exist, explain why. x - 1- V3x +1 a. lim- х — 5 1- x b. lim (x – 6)²

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.