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

Q: 1 Find lim +3 using limit rules. 2.

A:

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: 2. Find if possible: sin(nx) a) lim x-4 x2-16 b) lim x (sinx+(cosx)³) (x2+1)(x-3) c) lim,--o (cosx)

A: a) Given that limx→-4sin(πx)x2-16we have to find the limit of…

Q: Find the limit: Lim x-->0  2 sin2 3x / 3x2

A: you know that:

Q: To determine whether L'Hôpital's Rule applies to lim 18 follow the same procedure as in step 1. x-0…

A: We have to find limit

Q: 5. Find the limit, if it exists. If the limit does not exist, explain why. sin x- cos x (a) lim x/4…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Evaluate the following limits: 8x3+27 lim- 4x2+12x+9 X -- 2 b.) lim (3x + v9x2 — 6х + 3) X -00 c.)…

A:

Q: Determine the limit: 12 x+ 1 tan(2 x) lim 3 sin(3 x) X- 0

A: Given limit: limx→012x+1tan2x3sin3x

Q: If lim f(x)=-2 x-->0+, lim f(x)=3 x-->0-, and f(0)=-2, what can you say about lim f(x) x-->0?

A:

Q: prove that lim x-->0 x^2 cos 1/x^4 = 0

A: given limit squeeze theorem

Q: Find the limit: Lim x->0  2 sin2 3x / 3x2

A: Given,         limx→02sin23x3x2

Q: 2) For lim (5x)4*, do not evaluate! x→0+ a) Which indeterminant form is the expression? b) Set up…

A: a) The given limit expression  =limx→0+5x4x=00 form

Q: Q2: (a) By using " L' Hopital rules "; Find the limits of ::- (1) limx¬(n/2)-(tan x)cos x (2) limx-o…

A:

Q: Find limx→−∞(x2 −1)e4x. Show work.

A: We need to find : limx→-∞(x2-1)e4x

Q: Find the following limits.  limx->+infinity (sin2x)/(x2+1) limx->+infinity (e-2x cosx)…

A:

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. - (a) lim sin (2x 6)…

A: solution is given below

Q: find limx->2 X-2 tanQ. Sin O 9) tan a-sin o-tanQ. Sin

A: To find the solution of given equations

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

A:

Q: Use L'Hoptials Rule to find the limit of: Lim as x->0 for (cosx)^3/(x^2)

A: We apply l'hopital rule to obtain value of function

Q: 9. Build a table to estimate lim sin - (Hint: Use multiples of T) (x³ - 3x2 + 6– 2x) 10. Use a table…

A:

Q: Once you know lim x-->a+ f(x)  and lim x-->a-  ƒ(x) at an interior point of the domain of ƒ,…

A: If we know the right and left-hand limit of a point then we know the limit at that point.

Q: Please solve asap my deadline is very close

A: We need to find limx→+∞sinx-4cosx+33x2+cos2x Consider:…

Q: х —9 Determine lim V6 - Vx-3 x→9 |

A: HERE WEMUST KNOW ABOUT L'HOPITAL RULE

Q: 5. Find the limit, if it exists. If the limit does not exist, explain why. sin x - COS X (a) lim x/4…

A: We have to find the limit of the following function.

Q: 5. Find the limit, if it exists. If the limit does not exist, explain why. sin x - cos x (a) lim…

A:

Q: х2—1 lim х-1+ In(x)

A:

Q: tan(x) Q1: limx¬n X-n is

A:

Q: How do you solve question 11 and 12?

A: (11)Given:

Q: 3. Find the limit. tan(5x) 0 sin(3x) sin(6x) (2) lim x04x-5x (1) lim

A:

Q: Find the limit. 2+5x+ sin x lim 3 cos X 2+ 5x + sin x lim | (Type an integer or a simplified…

A: To findlimx→ 02+5x+sinx3cosx

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. (a) lim sin (2x6) sin(4x…

A: Explanation of the answer is as follows

Q: Evaluate, Lim x-->-2+  ((x+2) cot (x2+5x+6))

A:

Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 20…

A:

Q: Find the limit or determine that the limit does not exist limx→0 (1/(x 3 √1+x)-(1/x)) 1 + x is all…

A:

Q: Find the limit  lim x-->infinity:  1/2x + sinx

A:

Q: Evaluate the limit: lim --> 0 (ex+3x)1/x

A: It is an indetermined form of questions in case of limit. Which will be solve easily by below given…

Q: find lim x->0 cos(12x) -1/3x. not using the l'hospital rule. must show all steps

A:

Q: 1) lim-sinxr x-0

A: given equation is     limx-->0  (x-sinx) / x³ ** L hospital rule =>    limx-->0  f(x) /…

Q: find the limit of lim x->3 sin(x-3)/x^2-x-6

A: To find limx→3sinx-3x2-x-6

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is…

Q: determine the limit limh→0[(x+h)2-x2]/h by treating x as a constant. determine the limx→0cos(2x)/x…

A:

Q: Find sin(x), given cos(x) = 5/13 (b) Evaluate lim x→0 (sin(5x)/3x) (c) Evaluate lim t--> infinity…

A: Given: (a) Find sin(x), given cos(x) = 5/13 (b) Evaluate lim x→0 (sin(5x)/3x) (c) Evaluate lim…

Q: 9. Build a table to estimate lim sin 1 (Hint: Use multiples of T) (x³ – 3x2 + +6– 2x) 10. Use a…

A: As per the guidelines we are suppose to answer only one question. Please repost the remaining…

Q: b) By using "L'Hopital rule"; Find the limits of:- (1) lim,o In (sec x) 3x 2) lim,* (tan x)*

A:

Q: Evaluate: lim --> 0 (x-tanx)/xsin2x

A:

Q: Find the limits: (1) lim (tan x)* X-0+ (2) lim (sin x)* (3) lim (ex + x)² X-0+ X-00

A:

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. sin(2x - 6) sin(4x - 12)…

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

Q: find limit if it exists   lim as x->pi cos^2(x-tanx)

A: Given,

Q: Evaluate lim x->2 (x^2 - 4x + 4) / tan^2 (x^2 - 4) without using L'Hopital's Rule.

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.