a) lim- 1 3x +x+1 -x +5x b) lim f(x) where f(x)={ (4x xs2 3x x>2 sin 2x c) lim g(x) where 2+x < g(x) < for all x on [-1, 1]

Q: 1) Find limit 1. lim x-0 tan 3x x3+2x2-3x 2. lim x-3 x3-2x2-15x Vx+1-V2x 3. lim x-1 x2-x 1 4. lim- x…

A: Given

Q: 1. Evalaute lim ƒ(x), lim ƒ(x), lim f(x) for I-3+ 2-3- 1-3 f(x)= { = −x+4 x − 3 x 3

A: Topic = Limits As per guidelines , At a time only one question with three sub-parts can be answered…

Q: 3. Find 1. Lim f(x) 2. Lim f(x) 3. Lim f(x) 4. Lim f(x) n→∞0 n→ ∞ n→0+ n→0- x < 0 When f(x) = -&…

A:

Q: lim (x² + 4x) 2. X→-4

A:

Q: Find lim h(x) and lim h(x) and lim h(x) 1--2 1 I+2 x > 3

A: To find : Limits of the function h(x)

Q: evaluate the limit.

A: Given:

Q: (2+h)-8 lim h-0 x2-3x 5) lim X-3 x2-9

A:

Q: 1 Find lim - and lim 1 x→-0 x

A: This question is taken from the limit in which we have to find the limit of the given question. We…

Q: lim 2x2 + 7x +5 X-> -I x+1 lim 16 (Titx -1) | Xー76 lim 2x 3-54 X-7 3 X2-9 lim スーフ4 Nin -(ニル) x2-16…

A:

Q: 6- (a) lim f(x) x--2 (e) f(x) lim x-3- (b) lim f(x) X-2+ (f) lim f(x) lim, f(x) X3+ (c)

A: According to our terms and conditions I have solved first 3 parts for remaining part repost

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

A:

Q: |æ+1| Find lim x+1 x → -1 |æ+1| lim x+1 - x → -1 ||

A:

Q: 6. Find the limit of f(x) = -- 10 as x approaches co and as x approaches - c lim f(x) = X00 (Type a…

A:

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1&lt;x≤x Therefore, 2x-1&lt;2x≤2x ⇒3x-1&lt;3x≤3x . . . ⇒nx-1&lt;nx≤nx ∴ (x + 2x + 3x…

Q: 5. lim f(x) = +o, lim f(x) = 0 6. lim f(x) = +00, lim f(x) = 0 and f(-1) = -1 %3! x+1+ and f(-1) = 0

A:

Q: 3. Find the limits. (a) lim (x+x² + x)'01 %3D x-1 (x – 1)(x - 2) (b) lim x2- x+1 (x – 1)(x – 2) -…

A: We are solving the first three subparts and for the next subparts questions post the question again…

Q: 8x+4-4cos?x+tanx Q1) Find lim x-0 4sin2x

A:

Q: COs x lim 1 (b) In(2/9) – In(x(1 – x)) x – 2/3 - - lim x→2/3 (c) lim r(tan x2 - In x lim x0+ x In(1+…

A:

Q: Vx-2 11. lim- x→4 4-x 1 12. lim 1 3 13. lim x-→2-x-2 x² –4 x-1 14. lim |2x – x² –1

A: According to bartleby rule I answered first 4 questions

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: 9. 1 2- 1 lim X-1 1 x2 - x2 - 2x + 1 3x + 2

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

Q: 3. Find the limits. (a) lim (x° +x² + x)' 101 %3D x -1 (x – 1)(x – 2) - (b) lim x2- x+ 1 (x - 1)(x –…

A: To find limits of the given functions

Q: Determine value for c so that lim f(x) x--> 3 exists f(x)= 1/3x+c    For x3

A:

Q: Discuss the continuity of the function.

A:

Q: 10* – 5* – 2* +1 (b). Evaluate lim- VI+x-V1-x (i).Evaluate lim- sin-!

A:

Q: (a) lim *²+3x 6x-18 x²-5x x2+5x+4 (b) lim x-3 x-3 (c) lim x-0 (d) lim ズ→ー4 x+4 x2-7x+6 (e) lim x+8…

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: Final Value Theorem:- 6, lim xin) lim xCt) ヒ→ lim (1-z) Xcz) (火(00)に

A:

Q: 7. If lim f(x) =∞, lim f(x) = 3, and lim f(x) = 0, what X-00 x1+ can you say about any horizontal…

A: If limx→∞fx=L Then,              y=L is a horizontal asymptotes of f.   Here, it is given…

Q: Vx+4 -3 3. Evaluatelim Show your complete solution. x-5 x-5 x-1 4. Evaluatelim Show your complete…

A:

Q: 3 - 2x? +x- 2 Use L'Hopital's Rule to evaluate Support your answer graphically. lim X2 x² +x-6

A: To find: The limit by L'Hopital rule. Given information limx→2x3-2x2+x-2x2+x-6

Q: x-2 j) lim -3x+2 3x+2x lim 0 x+4x k) x2 -3x+2 lim 2 x - 2x I) lim -x 1-x im m)

A: We will find the value of Given limit.

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: x² - 2x Only one of these calculations is correct to evaluate the limit lim - x--0 x2 - sinx Select…

A: We have to find out the limit of the function. We can apply the l'Hospital rule if limit is in 0/0…

Q: Evaluate lim x—>3 (x exponent 3 - 5x + 4 over x exponent 2 - 2) 2. Evaluate lim x—>0 ( root 1+x - 1…

A: Answer

Q: x² - 225 = 30 Give an ɛ-ô proof of lim X- 15 X→15

A:

Q: x2-x-6 lim x-2 x2-4 Vx+2-2 lim x-2 x-2 Vk+3-V3 lim k-0 k

A:

Q: F(x)={tan(x+3) x3-) f(x) Photo better depicts problem, thank you!

A: Given,           Fx=tanx+3x&lt;-3x+33+1-3≤x

Q: lim f(x)=+0, then the limit lim [2² . f(x)] .. If must be equal to zero. must be equal to +00. must…

A:

Q: lim x-->3 f(x)=8 and lim x--->3 g(x)= -4 1) limx--->3 (3f(x)-5g(x)) 2) lim x---> G(x)^3 + 50 /  (…

A:

Q: 5. Prove lim 5x + 2 = 17. Your work should include pre-work, and formal proof.

A: To solve the following question on limits

Q: lim f (x), where f (x)={18-7x for x<9                                    ={x2-3x for 9 less than or…

A: Explanation is given below..

Q: Evaluate the limit. lim x→1 1 −x2/sin(2πx)

A:

Q: X - 2 2. Evaluate lim using methods from this class. I-2 - to

A: The limits are one of the most significant tools of analyze any given function at a given point. To…

Q: [3-x x 2 a) Find lim X-2+ f(x) and lim X-2 f(x) b)Dose lim f(x) X-2 exist ? why?

A: We use the definition of the existence of two sided limit to answer the question.

Q: arctan(x2) lim x8 lim a In(x) = X→0+

A:

Q: 1- let f(x)= |x^2-4|/(x+2). Determine the limit lim_{x->-2} f(x), if it exist.

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

Q: 6. lim f(x) = +∞, lim f(x) = 0 and f(-1) = -1 %3D x-1- x-1+

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.