sin(3) (x – 6) – 3sin(x – 6) lim x-6 (x – 6)2 + 2(x – 6) + 3 – 3e*-6

Q: lim_(x → 0) ((x/(1-cosx) - (2/x))

A: Use L'Hospital Rule

Q: Lim x->infinity (cos 1/x2)x^2

A: To evaluate the below limit

Q: 3x+7 sin2x x+x.cosx 1- lim- x2-2 lim 2x2+x 3 - lim- x→0 2 - 00+X x→0 sinx.cosx 1 lim x-1- 1-x2 x-3…

A:

Q: sin 3x + ax + bx3 lim %3D x3

A:

Q: lim x → ∞ cos(16/x)^(13.32x^2)

A:

Q: Lim メーラル sin2x x² 2.

A:

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: 1. 2. 3. lim 2 tan () lim – () 2-16 (x²–16 x+2 lim х -3 х-2 x →4 2 4. 7. x2 -7x+12 5. lim x →4…

A: Limits are given, we have to the find the given limits

Q: x-2 2. lim 2 x-8 x+3 5. lim 1/x+1/3 1 8. lim X-1 x-1 11. lim X-0 sin x 14. lim (x-3) cscx

A: We will first discuss the L-Hospitals rule. If the limit of the function is of the following form we…

Q: {) Lim 1-cos Scos2x 7 メー)○ x2

A: Given: limx→01-cosxcos2xx2 for evaluating given limit, we use L hospital's rule according to L…

Q: sin 4x Does it exist? '. 1. Calculate lim 2. Find lim x-2 x-2 x-2 3. Find the asymptotes of - and…

A:

Q: x2-4 1) lim x→2 x-2 sin 2x 2) lim 3) lime- 1 x 0-x

A:

Q: Use the table to find the indicated limit.

A: Given tabular data is

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: Find the limit

A: We know that cos0=1  For x=0-, cosx will be less than 1.  So, |cosx-1|= -(cosx-1)= 1-cosx for x=0-…

Q: find the one-sided limit

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 2 sin(-2 x) lim ثم أختر الاجابة ال 0.3) d x-0 4 sin (5 x)

A:

Q: V3x2 + 6 f) lim x+0 5 - 2x g) lim 4x2 -х + 2х x--0 x2 h) lim x-+0 1- cos2 x tan 7x i) lim x-0 sin 3x…

A: ' According to the guidelines issued by the company we are supposed to answer only first three…

Q: Lim x-0 e³ +ex -x²-2 sin² x-x²

A:

Q: lim x>0 (x csc2x)/(cos5x)

A:

Q: lim x →3 (x − 3) tan(9 — x²) sin²(2x - 6)

A:

Q: sin3x d) lim x→0 + lim cos x + lim 2x² x→2 x-3

A:

Q: x² - 4 3 X-2 x³ -x-6 1. Lim 1 X-0 X 2. Lim sin x

A: We have to find the limit of the given function. Here we use L hospital rule .

Q: lim (4 + (x + y} ) In(x² + y)) (х.у) - (0,0)

A:

Q: sin(3 – x) lim с2 — 5х + 6 x→2 x2 – 5x + 6

A:

Q: x2-4 1) lim x-2 x-2 sin 2x 2) lim 1 1 3) lim(-- X-0 x VX

A:

Q: In Problems 7–16, use a table to find the indicated limit

A: The given expression is limx→24x3

Q: sin 5x i) lim- x-0 sin 6x sin 3x g) lim x-0 x sin x h) lim- x+0 7x sin 6x j) lim- x-0 6 sin 3x k)…

A:

Q: Limits at infinity Evaluate the following limits or state thatthey do not exist.

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: lim x-6 x-4 |7-x| lim x-7 7-x 10 sin x lim x-0 6x

A:

Q: lim sin (–3 x z) = z-3

A: To find- the limit.

Q: Lim 2-2 cosx - xIn (1+x). x sin'x

A: We apply L hospital rule to find the limt. See 2nd,3rd and 4th step.

Q: Use the shown table to find the indicated shown limit.

A: The given expression is limx→0sin3xx

Q: lim-o t- sin 3t² 1-cos 2t

A:

Q: 1 + cos(x) a) lim %3D 20 -x ) lim x-1( In(61x-60)

A: Given, limx->π (1+ cos (x))/(6(x-π)²) = (1/6)limx->π (1+ cos (x))/((x-π)²) = (1/6)limx->π…

Q: sin(3x – 3) lim x² – 1

A: Given :

Q: lim COos x –1 x→0 x² – x³

A: To evaluate the given limit.limx→0 cos x-1x2-x3

Q: x2 lim 3. Evaluate ×→0 1 – cos² 3x

A: To evaluate the limit of the given function:                                    limx→0 x21-cos2 3x

Q: lim 15 cos() x→0+ 7x

A:

Q: lim x-3-j 2 x²-8-j6 2x²− x³ −3l+x −j37

A:

Q: sin(4z) f(x) = 9x 0.4 0.35 0.3 0.25 0/5 -0.25 0.25 sin(4x) Evaluate lim 9x Enter at least 3 decimal…

A: Let's find.

Q: evaluate the limit.

A: Given:

Q: x2-4 1) lim x-2 x-2 sin 2x 2) lim 1 3) lim(-- x0 x V

A:

Q: sin (3t) (d) lim 1-0 sin (8t) sin (x-4) (е) lim x→4 х—4 cos (2z)-1 (f) lim-

A:

Q: lim x->-7  (-x-7)/(4-√(9-x)) lim x->-infinity (√6x^2 - 2x)/(x+8) lim x->0 (7x cos x + sin 5x)/3x

A:

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

A:

Q: lim cos(x) X- +x 3 TC 2.

A:

Q: 2-27 1- lim X-3 2-9 2-2x2+1 2- lim -0 -2 Vx+25-5 3- lim sin2x? 4- lim x-0 x sin x 5- lim X-0 2-2cosx

A: 1.

Q: Find the limits

A: We have to find the limit: limx→0x2-12-cos x Since this is determinate limit so we just have to put…

Q: Evalute the limit of: lim x->0 (x csc 6x)/(cos 14x) The answer must be in simplified form or a…

A: