V3-x 1.) lim 'x→-2+ (x+2)² 3-х tan 3x 2.) lim Зx2-8х-16 3.) lim х-4 2х-9х+4

Q: 3-v49 B) Without using L'Hopital's rule, find: lim

A:

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

A: The given function is, Simplify and rationalize the numerator of  the given function as follows.

Q: of Quolients. 17. lim Imit Se -dy

A:

Q: What does it mean when we say a limit is in an indeterminant form and what can we do to solve it?

A:

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

A: you know that:

Q: Find the limit if it exists: lim x->0       (sin(3x)) / (x(3x2 - 5))

A:

Q: Calculate the limit limx→0+(arcsinx)2x.

A:

Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether…

A: limx→afxgx=limx→afxlimx→agx,   limx→agx≠0

Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether…

A: Plugin the limit in limθ→0cos θ-1θ and obtain the indeterminate form of limit, 00. limθ→0cos…

Q: Q3: (a) Find the following limits if exist (without using L'Hopital's rule):- 9-3 (2) lim, tanr-sin…

A:

Q: 1 7. lim X-0 (Arctanx)2 x2

A:

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: find the limit or explain why it does not exist.

A: To find the limit  limx→π sec x = ?

Q: Find the Limit (sin3x)/(5x^3-4x)

A: Obtain the limit value as follows.

Q: limf(x) does not care what happens While a limit exactly at x = c because the limit is concerned…

A:

Q: Use different path of approach to the point (0, 0) to show that the limit lim(,9)→(0,0) 4 does not…

A:

Q: 1-cosx 16. lim X-0 3x sin x

A:

Q: Find the limits limx→∞sec-1 x

A: In x=sec(y) , as y approaches π/2 from the left then x approaches ∞ So, in y=sec-1(x) as x…

Q: Calculate the limit limx→π/2(tanx)cosx.

A: We have to evaluate limx→π2tanxcosx We know that tanπ2 is not defined. Therefore, we will simplify…

Q: limit as x---3 for the function (x-2)^11/(3-x) using L'Hopitals.

A: Consider the given function (x-2)11 / (3-x).

Q: Find the limit. If you L'Hopitals Rule, make sure to justify why you can use i use lim 2?e

A: We have to find the limit.

Q: 2) lim 1-cos (2 arc sinx) In(a+x2) calaulate the limit.

A: Solve the limit limx→01-cos2arcsinx1n1+x2

Q: Only one of these calculations is correct to evaluate the limit lim sinx Select one: 1 sinx -x lim O…

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 an equation of the tangent line to the graph of the function at a given point. Do not use the…

A: Slope of the tangent line of the function f(x) is the derivative of the given function . f'(x) =…

Q: Evaluate. (a) limit as x goes to 0 -> (tanx)/(2x) (b) limit as x goes to 5 -> (-1)/(x-5)2 (c)…

A: a) The limit can be evaluated as.

Q: Calculate the limit for the given function and interval. Verify your answer by using geometry.

A:

Q: 3. y = at point (0, -) X-3

A: Topic = Derivative

Q: Find the limit. (If you need to use -0 or ∞, enter -INFINITY or INFINITY.) lim (e-5z cos

A:

Q: For solving a limit problem lim f (x)(*) which is in the form of indeterminate power, here are the…

A: We have given limx→af(x)g(x) which is in the form of indeterminate powerlet y=limx→af(x)g(x) taking…

Q: 1 1-cos x lim, →0 (sin

A:

Q: cos 3z-cos x 8. limz0

A:

Q: Which of the given limits would result to 3/4.* csc (3x) lim x0 csc(4x) sin (4x) lim 0 sin(3x)…

A:

Q: Find the limit. Enter the exact answer. If the limit does not exist, indicate that using the check…

A: limx→∞sin-14x6-8x=sin-1limx→∞4x6-8x=sin-1limx→∞4xx6-8xx , [divide both numerator and denominator by…

Q: Problem in Image please

A: We have to essentially evaluate the limit shown on the white board.[a, b] = [2, 6] Hence, a = 2, b =…

Q: Find the limit or show that it doesn't exist. 1-х-х2 a) limx→-o 2х2-7 V1+4x6 b) limx 2-х3

A:

Q: Find the limits. If you use L'Hopitals Rule, make sure to justify why you can use it. 1- cos(2r) lim

A: To find the limit- limx→01-cos(2x)x2

Q: Find the limit. Enter the exact answer. If the limit does not exist, indicate that using the check…

A:

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

A:

Q: Use squeeze theorem to shoe that limx-> 2 (x-2)2 (3+sin(x2))= 0

A:

Q: Lim (sinx)* -0+

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

Q: Use L 'Hopital's Rule to find the limit:

A: Since the given limit is in infinity/infinity form, so we can use the L'Hospitals rule.

Q: Find the limits justi ly why the limit does nt aut or リ Pas 11-x1 b) lim fa) メ-1 2) lim *tメ-?

A:

Q: Estimate the limit numerically or state that the limit doesn't exist: sec (2) lim (Enter DNE if the…

A: To estimate the limit of the given function at x->1+ . Since the given function is continuous in…

Q: Determine the limit (if it exists). sinx(1– cosx) lim 3x7

A: Given,           limx→0sinx1-cosx3x7

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

A: Given,

Q: x-3- – 3VA lim x+0* 0" x- Vx

A: We first try to find the limit  by substitution

Q: Calculate the limit for the function f(x) : 13 x +4 over the interval [0, 4]. Verify your answer by…

A: I am going to solve the given problem by using some simple calculus to get the required result.