lim x2 Vx2 e) lim xe? In2 x-5 ln a+6 In x-2 Ps

Q: Lim x->infinity (cos 1/x2)x^2

A: To evaluate the below limit

Q: 1— 2 — е-7 lim 2.x e sin(8x) →-

A:

Q: lim z?= 1 0 2 0 -2 O -1 0

A: To find limz→iz2.

Q: e* — х — 1 (a) lim x→0+ x² x – sin(x) - (b) lim x→0+ x3 x2 x3 + 4x? + 4 + 4x (c) lim x→-2 x³ +7x² +…

A: We have to solve given problem:

Q: x²+1 lim tan (x,y) → (0,1) x? +(y-1)². O is equal to 0. O is equal to -II

A: Given that: lim(x, y)→(0, 1)tan-1x2+1x2+(y-1)2

Q: lim (x)-(.0) tan , -= (A) Does not exist (B) e? (C) 0 (D) ezn (E) e *IN

A:

Q: lim (x,y) (0,0) Vx²+y² In (x²+y²)2 O is equal to 2 O is equal to 1. O does not exist. O is equal to…

A: We have to find the limit.

Q: lim (1+ / tan(x² – 3x + 2) X' is :- X2 (A) e (B) 1 (C) e ! (D) e

A:

Q: lim x-0 (cos20x) 7/20x^2

A:

Q: Find the limit.

A:

Q: 1-sin If the inequality <1- sin/|x³y°| < * for all æ and y. Then, find the lim(r,9)→(0,0) |z³y³| 2…

A: We will use Squeeze theorem in given problem.

Q: lim (x,y) → (0,0) Vx2+y2 In (x²+y2)2 O is equal to 0. O does not exist. O is equal to 1. O is equal…

A:

Q: x3 + x² – 2x (a) lim х — 1 4x3- x2 - 3 (b) lim x→∞ 2x3 –10x+9 1 (c) lim x2 sin( 4.x2 (d) lim x"

A: Hello. Since your question has multiple parts, we will solve first three parts for you. If you want…

Q: lim r+1 Number z-1 x2 –1

A:

Q: lim ax+ 1 is X->0 (d-x)(+x) - 4 ©- a d) DNE Оа O d O b Ос

A:

Q: lim (xn) 3a n ɛ N Xn+1 =;Xn + 2 ,x1 = 8 js iI + 2,x1 = 8 is isI %3D 8 O 4 2.

A: Let limn→∞xn = s then limn→∞xn+1 = s

Q: sin 1(e") 2. lim (- V1-e2

A:

Q: lim X+0 2x+ is (A) -3 (B) (D) (E) 2

A:

Q: e* +e-x — х2 — 2 lim x→0 sin? x – x2 O 1 O -1/4 O 2 O other:

A: Given: The limit expression as  limx→0ex+e-x-x2-2sin2x-x2 To find: The value of given limit.

Q: 2x x→∞ 3x² +5 3x xx√√√x² x² +4 X lim x→→∞ 2 sin î (a) lim (b) lim (c)

A: Given

Q: 2x lim x-4 Vx - 3 LN =

A:

Q: 12 lim 3+ = 3 n-00 uction f(x), then: f(x) dx =

A: We have to find integral

Q: a, = V 2n + 6" %3D lim an %3D

A: Given: an=2n+6nn The main objective is to find limn→∞an

Q: tan( xy) lim (х.у) >(0.1) х"у+x = ? 1 (b) 2 1 (c) 3 (a) 0 (e) 1

A:

Q: x² - 4x +4 (a) lim (b) lim(vx² +3 – x) x2 X+x-3 X +0 V5x? -2 tan 7x (c) lim (d) lim sin 3x ( Do not…

A: Recall: If Right hand limit and left hand limit both exists and equal then limit exists.  i.e,…

Q: tan? x – x? 1 Ans. 12 2 Ans. 3 x + 2 cosx - 2 (xii) lim x0 x2 (xi) lim x sin' x tan x e* + sin x -1…

A: As per bartleby guidelines, for more than one question, first one needs to be solved and others are…

Q: x + sin 2x lim x-2 x – sin 2x О з O 2 O 1/3 О 12 O other:

A:

Q: Rewrite the following as one-sided limits and evaluate.

A: (a) limx→∞3-12x34x3+3x+1=limx→∞3x3-124+3x2+1x3=0-124+0+0=-124=-3 Hence the answer.

Q: (a) lim (1+h)** - 1 h 6 - In a (b) lim 1-e (x- e6)ln x

A:

Q: dx dx A lim 25 - x2 c+5-°o 25- x² dx dx B lim c+1+°c In(x²) 4dx 4dx o Vx(x+6)¯ c-o /x(x+6) lim . E…

A: follow next step

Q: tan(xy) = ? lim .2. (х.у) >(0,1) х*у+x 1 1 (b) 1 (e) (d) - (а) 0 (e) 1 4 - |3

A:

Q: (b) lim (e) lim x-0* V4+ Vx-1 x+sin x (h) lim X0 x+ cOS X x+sinx (k) lim [x] (n) lim X3 X

A: Limits questions

Q: 5. Find the length of the curve x =y? +2} from y =0 to y = 3. In(5x+2). In 3x 6. Solve lim

A:

Q: lim d. (XS tan (5x)

A: Solution of limit is given below..

Q: sin (x? - 4) 1- V 1- lim 2- lim x1 1-x x2 x - 2

A:

Q: sin x lim 2х x0 e -2х

A: To evaluate the given limit.

Q: lim (2r5+1) 4x5 lin ealantu (5 H+00 sts lim (2x lim on (2) lim e 11 (tsKC) In(2 4. lim e 11 4 lim…

A: Given, function

Q: x²-2xy lim (x, y)-(2,1) x2-4y2 2 3 .A O 1.B O 1 4 .C O 2 .DO

A: lim(x,y)→2,1x2-2xyx2-4y2

Q: x.2* 15. lim x-0 2*-1 (A) In 2 (В) 1 (С) 2 1 (D) 1n 2

A:

Q: 5. lim 5ª + 2³ª + [ln(ln x)] ¹⁰⁰ 7ª + 6ª + [ln(ln x)]200 xx 7x

A: To Evaluate: limx→∞5x+23x+[ln(lnx)]1007x+6x+[ln(lnx)]200.

Q: 5 e 2y sin (- 4x) - lim (х, у) >(0,0) (Type an integer or a simplified fraction.) %3D

A:

Q: sin (3x2-7x+8) 5.) lim X-2 Solve without using L'Hospital's rule. x-2

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Q: x² – 9 2. lim x →- 3- x+3 (4 + h)² – 16 4. lim h-0 h sin2x 6. lim t tan³x

A:

Q: 5x+1 x>-2 e. lim f(x), (x) = { 1s-2 I. Iim +2

A: -2+ means on the right side of x=-2  So we will take the first function

Q: e2x-1 lim x0 sinx a) b) Inx lim X0 VI x'-2x2+1 lim X-1 c) x3-1

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.