2t – 1 Evaluate lim,,<=", tan¯'t, e> tan-1, e> - t - 1

Q: B: prove that lim cose = 1 02: A: Find 1. lim an(e)-sin (t) tcos(t) 2. lim tan(5x) x-0 3x B: prove…

A:

Q: Evaluate 1- 6/T lim Enter I for oo, -I for -0, and DNE if the limit does not exist. Limit =

A: Solve limit by taking common root x

Q: Find lim 1-0 does not exist -1/2 Ο Οι Ο 1/2 O O Ο Ο Ο Ο Ο Ο O O O e* - r -1 Other: Δ

A:

Q: tan (x) Evaluate the lim A. -1 В. О С. 1 D. e

A: To evaluate the limit limx→0tan(x)x limx→0tan(x)x=tan(0)0                =00 This is of the…

Q: I- Evaluate the a-Lim(x/(x-1) – 1/ Ix) b- lim [In(cos(x))]* x->1+ x >0 x->0

A: Solution a: Given limx→1+xx-1-1lnx We can write it as…

Q: Question 3. Construct examples such that lim(p, + qn) limr, + limyn

A:

Q: 1 Evaluate the lim sin x>0

A:

Q: (5х-4, E If f(x) = 0<x <1 show that lim f(x) exists. %3D 4x - 3x, 1<x<2

A:

Q: 43. Assuming that lim 4 = 1, which of the following statements is necessarily true? Why? (a) f(0) =…

A: Consider a f0=0Here if x=0 , f0=0Substituting in limx→0fxx=00Inderterminant formDifferentiate…

Q: In x is I0 cot x lim Select one: a. b. -1 С. О d. 1

A:

Q: 1 lim x→-∞ ex Select the correct response: O +0 O 1

A:

Q: Find the limit (1+2)(1+2x)(1+3z)-1 lim 0 O 3 6. O 1 None of these

A: We need to find the limit limx→01+x1+2x1+3x-1x.

Q: 2+ 1 ** Evaluate lim - X+ oL dt A B none of these 1- e? 1 4

A: Given that,  Now taking the integral term,

Q: (:) -*) Evaluate: lim 1 ба" sin 6.

A: Topic-limit calculation

Q: *+1 Find lim H00 3x - 4x +5 if it exists. Find lim(1 + r), if it exists. X-4

A:

Q: e2t - e-2 – 4t lim- t- sint

A:

Q: 1 Find lim x→∞ -e-x Select one: O 1 O +∞ O -1 8.

A:

Q: What is lim tan(x)? Why? AY 10 8 6. 4 2 -0.S 0.ST, 0.5n, 1.5a, 27 2.5m -4 -10

A: Given limit is limx→π2+tan(x) As shown in the graph of tan(x), as x approaches π2 from right side ,…

Q: 1+t-V1-t lim

A: To evaluate: limt→01+t-1-tt   if we substitute t=0, we get 00 (indeterminate form)   Consider…

Q: 3p(x) If p(x)%3х2+2х-З and q(x) -x3- 1, then lim- x+1 q(x)

A:

Q: Question 7 x+6 Finding the limit: lim3 x+2 O (E) 2/7 18

A:

Q: 1 Evaluate lim 1 sin

A: The given limit is limx→∞1sin1x Let x=1/z z=1/x when x tends to infinity z tends to 0

Q: 48. If L = lim (cosec x)/(x, then the value of nL is - X->0* (A)1 (BY-1 (C) 0 (D) none of these

A: To evaluate: L=limx→0+ (cosec⁡x)1/ln⁡x Taking ln both sides, we will get ln L=lnlimx→0+…

Q: 3* Evaluate (a) lim sin y and (b) lim x→-I /x + 5

A: To evaluate: a) limy→π3 sin y b) limx→-1 3xx+5

Q: 1x+ 7=3 7-4x 2. Evaluate lim,→∞( x2 4. ) exactly. S

A: To evaluate the below limit

Q: 7. Show all steps to find the lim sin (e-k) or show it diverges e-k

A:

Q: 15x 5. Find lim using special limits. X→0 sin 3x

A:

Q: 3. Let f(x) = x and P = {0, nn = 1}. ... + f("1) and that lim Lf(P) + k = k(k +1)/2) 1 Show that…

A: Given the function f(x) = x &amp; a partition of the interval 0,1 as P =0,1n,2n,3n,...nn=1. First we…

Q: (b) lim (r + 1) In x

A:

Q: 8. Evaluate e8x - 1 lim sin (6x)

A: See the attachment.

Q: tan(2x) x+02sin²(x) Evaluate: lim O a. ∞ O b. -∞ O c.0 O d.-1

A: We have to evaluate limx→0- tan2x2sin2x         Here two sided limit does not exist.…

Q: Question 19 Saved Las(3) = {--2 sor x0 and evaluate the following limit: х — 2 for х<0 lim /(x) x→0-…

A: Given that, fx=x2            for x≥0x-2       for x&lt;0

Q: 49. Let {x,}=1 be a sequence of real numbers such that xn Calculate lim,∞ exp(cos(x, – 1) – 1).…

A:

Q: x-1 ,when x=2,1.5,1.1,1.01,1.001,1.0001,0, 0.5,0.9, x' -1 Q.1. Make a guess about the lim: x->I…

A: Given: limx→1- x-1x3-1 We find the values of x-1x3-1for the given x values.

Q: If 7- 4x s g(x) s7 cos x for all x, find lim g(x). lim g(x) = X-0 (Type an integer or a simplified…

A:

Q: (1+x)" - 1-nx | lim where n is a natural number. r2

A:

Q: Q.2 Show that r(ax) _ 1 lim x0 (x)

A: to show  limx→0ΓaxΓx=1a   ...i as we know Γn=Γn+1n using this formula we get Γx=Γx+1xΓax=Γax+1ax

Q: x-1 lim when x 2,1.5,1.1_ Q.1. Make a guess about the r->1 X O 99 0 999

A: The expression limx→af(x) will give us the value of f(x) as x approaches a. We know that,…

Q: Q4:Evaluate 1) lim (1-1) x-0 \sin x

A:

Q: (b) From part (a), we know that lim an exists. Compute it. n00

A: Given that a1=3 and an+1=12+an for each n≥1 Also, the sequence an is monotonic increasing and…

Q: Question 10 X-2 lim (- x-1 x+4x-3' O A 00 OB. 1 OPNone of the above is correct OD.

A: We have to find the limit.

Q: %3D In(1+x) 3.A) lim P-ove tha t マー0

A:

Q: Question 2 Use the e - 8 definition to prove that lim (x,y,2)→(-1,2,-3) – 4y – 3z = -1. 2.x -

A:

Q: Q.No 3.) if x<-1 Let f(x)={ax+ B if -13x<1 x² +2 if x21 Find a and B, so that lim f(x) and lim f…

A: Given that, Consider, limx→-1-f(x) = limx→-1- x3 = (-1)3 = -1 limx→-1+f(x) = limx→-1+ (αx+β)=…

Q: Let 2x – 4+ 3() x > 1 f(x) = 8 tan- (ax) x<1 be given. If lim f(x) exists, find the value of a. x-1

A: Given,           f(x) = 2x - 4 + 3x1 - x2;    x &gt; 18πtan-1ax          ;    x≤1

Q: (-x – 8 1-2² – 4x – 4 I-1 ] Check whether lim, -1 f (x)exists or not, where f (x) =

A:

Q: I - 4 Prove that lim vI = 2 using the e-d-definition. Hint: Va - 2 = VT +2

A:

Q: 1. Let lim ||fn - f|| ₁² (1) = 0 n-00 Where I = [0,1]. Show that: lim | fn9ndμ = √fgdµ n-00 I and…

A:

Q: 4. Evaluate lim (cos x) ¹/2². 2-0

A:

Q: 12 sin( In x) (b) Evaluate lim,→1 3+5)(x-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.