Evaluate the following limits. tan x lim (sin x

Q: Evaluate the limit. (If an answer does not exist, enter DNE.) sin(8x) – 8x cos(8x) 8х — sin(8x) -…

A: Since the given limit is in the indeterminate form of type 0/0 , therefore we can apply L'Hopital's…

Q: 20. lim cos x sin x x→/4

A: (20). We need to evaluate the following limit : limx→π4cos(x)sin(x)

Q: Guess the value of the following limit. sin(x) lim

A: The given function f(x)=sin(x)x is not defined when x=0

Q: lim x →3 2+e* sin(7x)+x+1

A:

Q: Evaluate the following limits. If you use l'Hospital's Rule, be sure to indicate when you are using…

A:

Q: Find the limits

A: Given:

Q: Evaluate the following limit. 20 sin x x2 lim 20 sin x lim (Type an exact answer.) x0*

A: We have to find

Q: sin x (d) lim x→0 cos x- x

A:

Q: Find the limit. sin?(9x) lim

A: L’Hospital’s Rule : If  limx→af(x)g(x) = 00 or ∞∞  (indeterminate forms) then  limx→af(x)g(x) =…

Q: The value of the following limit is sec x lim x-(7/2)- 1+tan x 1 0 The answer is not mentioned O 00

A: limit value = ?

Q: Construct a table to find the indicated limit.

A: let f(x)= limx→0 sinx2x

Q: Decide if you can evaluate the following function using substitution. If so, state why and find the…

A: Given,  limx→π2sin x+x2

Q: Evaluate the following limit, if it exists : lim (tan 2x – sec 2x) 4 Note: Write the exact answer…

A:

Q: . Evaluate the following limits if it exists. If not, explain. sin(90) lim 0-0 %3D 40 4

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

Q: Evaluate the following limits. 1. lim sin x

A: Given: The function is limx→π2sinx The objective is to evaluate the limits.

Q: Зx-х+1 lim x→+∞ /9x5-x³+3-x² (х-2)tan? (3x-21) lim x→7+ sin²(x²-9x+14)

A:

Q: Find the limits sin (Vr – 3) lim х — 9

A: Limit of a function is the value it tends to when the input value tends to some value. A limit is…

Q: Evaluate the following limit. sin 5x lim x0 tan 7x

A: Find the limit of a function

Q: 4. Lim ¹G- X-0 1 Arctanx.

A:

Q: lim sin x 25 6 x -

A:

Q: Compute the following limits if they exist. x - sin a tan x (a) lim 10+ Vr (b) lim (c) lim tan r -…

A:

Q: sin x 6) lim x-0 6x 7) lim X-0 sin 2x sin32x 8) lim x3 x-0

A:

Q: Find the values of the following limits : 4x 3-limx-0 tan5x

A: According to the L'hopiatl rule: If the limit is of the indeterminate form 00  or  ∞∞ then…

Q: sin(9x) (d) lim 0

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

Q: Choose the correct answer for the following limit sin-1(x) – tan-1(x) lim 3x3

A: For evaluating this limit expression, we will use expansion of inverse trigonometric functions. Then…

Q: Evaluate the following limits: 1. 2 sin x - sin(2x) -x-sin x (a) lim 25 -t2 (b) lim 15 tl 11m,…

A: Hi, since there are multiple sub-parts in the questions posted, we will answer first three subparts.…

Q: Find the limits

A: sin always lies between -1 to 1

Q: Evaluate the following limits and and explain your reasoning. lim (0,n] (1 – -)e#dx n

A: Given: limn→∞ ∫0, n1-xn  ex2  dx We have to evaluate the given limits.

Q: For the limit, lim (x,y)→(0,0) sin(x² - y²) x² - y² if we approach along y-axis, we will get 1.…

A:

Q: Find the limits

A: We first try to find the limit by substitution

Q: Calculate the following limit: 9.sin(x) lim x +0 10.x

A: Note: Let limx→afx=M, where M is finite and let c be a constant. Then, limx→acfx=climx→afx

Q: Evaluate the following limit, if it exists : lim_ (tan 292 – sec 29z) 58 Note: Write the exact…

A:

Q: lim x→3 2+e* √sin(7x)+x+1

A:

Q: 4. lim sin x X- 2

A: limx→π2sinx

Q: Compute the following limits if they exist. sec x – 1 (а) lim x – sin x (b) lim I-0 x – tan r

A:

Q: x+tan x 4. lim X→0 sin x

A:

Q: Evaluate the following limits:  lim x→0 sin(3x)/5x^3-4x

A: limit

Q: Find the one-sided limit (if it exists).

A:

Q: Evaluate the following limits. x + sin(x) +2Vã x + sin(x) a) lim

A: NOTE***As per bartleby guidelines for more than one question, only first to be answered send other…

Q: Evaluate the following limits, if they exist. 2. lim (x+ sinx)* 3. lim (+ 1)* 5. lim (x)/(1-x)

A: Using l hospital rule

Q: Evaluate the following (you may use Limit Theorems). x²–4x+3 1. lim X-1 x2-1 2. lim 3t-2 sint+(ei–1)…

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: Evaluate the following limits and and explain your reasoning. a) lim е п dx n00 [0,1]

A: Using the following property of Limits of Integrals- limn→∞∫abf(x) dx = ∫ablimx→∞f(x) dxIf f is a…

Q: Find the following limits. Do not apply L'Hospital's rule. 2-4 lim +2 x– 2| (1) (ii) sin²(3r) lim…

A: According to question given:(i) limx→2x2-4x-2When x approaches 2 from right x-2=x-2When x approaches…

Q: Evaluate the following limits if they exist. 1 — х — е" a) lim 2(1 — е") b) lim (1 + sin x)'/= sec x…

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Q: Find the following limits. Do not apply L'Hospital's rule. 2-4 lim x+2 |x – 2| (i) (ii) sin (3t) lim…

A:

Q: Find the limits of the following: A. lim X-3 B. lim x sin-

A: A. Let L=limx→3x-21x+13 ⇒L=limx→3x-2x+33x        =limx→33x(x-2)x+3        =3(3)(3-2)3+3…

Q: Construct a table to find the indicated shown limit;

A: Given: limx→∞sinx2x

Q: ´ 1/x? sin x lim x>0

A:

Q: Evaluate the following: lim,→0 tan(4x) x+sin(2x)'

A:

Q: Find the limits by rewriting the fractions first.

A: We have to find: