sin 4x 18) lim X-0 tan 5x

Q: sin? 0 sin 2x tan´ x 2. limøseco 3. lim 0→0 1 – cos 40 4. lim- x→0 sin 3x 5. lim -

A: Solution

Q: Evaluate: lim 2 tan (r – 2) sin(x – 2)ª

A:

Q: TT+tan x 5. lim sin tan x-2 secx.

A:

Q: 1- sin x 1. = sec x-tan x COS X

A: Topic- trigonometry

Q: 8 sin 3+ 5/ is equal to The number lim | sin(x) dx E. 5. 8 sin(x)dx 8 | sin(x) dx 3. 0 8 8. sin(x)…

A:

Q: tan x sin 3x lim X-→ 3. sec cot 2x

A: To  find:-

Q: tan 0 7. lim 0→0 sin 20

A: We will solve the problem by evaluating the limit.   NOTE :: As per our guidelines we are supposed…

Q: The value of lim sin x- cos x 1s 2 sin x+3 cosx

A:

Q: sin(2x) cos(2x) Prove sec(x) sin(x) cos(x)

A: Trigonometry

Q: 1 lim x? sin 1-cos³ x lim X→0 sin² x csc? x-2 lim п cotx-1 4

A: L'hospital rule: If limx→cf(x)g(x)=00 or ∞∞, then limx→cf(x)g(x)=limx→cf'(x)g'(x). Limit formula:…

Q: 1- sin0 lim а) 1+ cos 20 2

A:

Q: lim xS0  .  ...........tan 3x / sin 8x

A: limx→0tan3xsin8x

Q: sin 5x lim, X→0

A: Given, limx→ 0sin5xx   Apply the L'Hopital's Rule: limx→ 0sin5xx=limx→ 0cos5x· 51

Q: 3 lim 2 x2.tan=.sin- X-00

A: We have to evaluate limx→−∞x2⋅tan2x⋅sin3x It can be written as…

Q: lim (3x + 1) sin(2x) 4x2

A:

Q: tan(5x) (1) lim 40 sin(3x) sin(6x) (2) lim x-0 4x3 – 5x

A: 1) limx_0tan(5x)/sin(3x) 2)limx-0sin(6x)/(4x3-5x).

Q: 22. lim cos2 (x - tan x) cos 2x - 1 sin x 24. lim

A:

Q: 2. By hand, showing all steps, determine sin 4x sin 5x lim x sin 3x

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Q: tan 2x 5. lim→0 sin 5¤

A:

Q: lim x→pi/10  tan(48*x) lim x→0+  sqrtx*e^sin(pi/x) limx→0  x^2*sin3/2x

A: Given the limit :

Q: 2- tana 1. If Sin(x+ a)= 2Cos(x-a); prove that: tan x = 1-2 tana 2 If Siu

A:

Q: 1-cos(2x) - Evaluate: a- lim,-0 sin²(3x) tan x-sin x b- lim sin3x

A: According to L'hopitals rule,limx→af(x)g(x)= limx→af'(x)g'(x)iff(x)g(x)= 00or ∞∞. If there is any…

Q: 43. lim x sin(7/x) 45. lim sin 5x csc 3x

A:

Q: Evaluate the limit.

A:

Q: tane 12. lim 80 sin20

A: First of all substitute the value of the limit that is 0 in place of θ in the function.…

Q: lim (sin x)tanx TT 2

A: We will solve the problem

Q: limit x to infinity (1+sin(3/x))^x

A:

Q: tan x 2. (a) lim e →号一 (b) lim sin (tanh 3x) エ→十0

A: limx→π2-etanx

Q: 1. cos x 1 - sin x = sec x + tan x

A:

Q: X 1 sin x+sin 2x Q3/ Find the value of (x) if 5 -2 1= lim %3D 3x -1 2 1

A: We will seperately find the determinant and the limit. Then, we will equate them to solve for x.

Q: sin 4x2 lim 1 cos 6x

A:

Q: 4.x (a) lim 10 sin 5x sin() (b) lim 5x sin 3x (c) lim 10 x2 tan 2.x

A: Read the following instructions once 1. Short method is provided at the end of the subpart (c)…

Q: 1 sec x – tan x sin x = %3D secx

A: Consider, secx-tanx sinx=1cosx-sinxcosx·sinx=1cosx-sin2xcosx=1-sin2xcosx=cos2xcosx…

Q: = If f(x) = f'(x) = ƒ'(5) = 4 tan x, then - sin(x)-4 sec² (x) Cos x

A:

Q: Lim sec(2x). tan(3X)

A: We have to find the limit.

Q: lim x approches 0 of sin(5x)/7x

A: We have to calculate; A=limx→0sin(5x)7x

Q: lim, 0 6 tan² (5x) 15x²

A:

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

A: We have to find the limit.

Q: Verify the identity:

A: tan x=sin xcos  x1+tan2x=sec2xsec x=1cos x

Q: sin 3x 39.lim tan 6t 41. lim 50 sin 21

A: We will use the l'hospital rule to fine the limit of 39.  To fine limit 41. We will use the basic…

Q: Find the limit

A:

Q: Find the limit.

A: Evaluate: limx→0 sin 4xsin 6x

Q: sin(4.x) Find lim 1-0 tan(2x)

A:

Q: sin 7x 2: lim 0 4x

A: Topic = Limits

Q: sin 7x cot 4x lim x cot 3x

A:

Q: tan 3x lim sin 8x

A:

Q: 11. lim sin x 12. lim sin x 13. lim sin( (x-

A: 11. Consider the given limit limx→3π2sinx and apply the limit x→3π2.…

Q: ´1-cos x 1-cos³ 11. lim sin? x

A: The given data is limx→01-cos3xsin2x Here we use L-Hospital's rule and the L-Hospital's Rule states…

Q: sec x-tanx lim X→- 2 2 х2+sin 3x lim х-0 2х+tan 2x

A: Let us consider limit of the function L=limx→af(x)g(x) On applying the limits of the  00 form then…

Q: 2. Prove sec?x + tanx secx 1- sin x

A: cos^2 x = 1 - sin^2 x sec x = 1/(cos x) tan x = sin x/cos x

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.