lim x → 0 X - 5 Зх + 2 х - 5 73.

Q: lim x-0 1 1 (ex ²-₁-²) 1

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Q: lim 3/2 8 x→ 4 x -- 4

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Q: 2 (х —1) lim 3 X 00 х+2

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Q: 2) lim (x – T)tan5

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Q: lim x-->0 (sin(2x^3))/(3x^2)

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Q: lim x---2, x2 - 4/x - 2

A: We have to find the limit: limx→2x2-4x-2 This is 00 indeterminate form of the limit. Rewriting the…

Q: lim x approaches 1/2 .............. 4x(3x + 4)^2

A: Consider f(x)=4x3x+42=4x9x2+24x+16=36x3+96x2+64 As f(x) is a polynomial, it's continuous on ℝ,…

Q: lim et- ハ→0 ¥

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Q: lim [(x²-In(x + 1)) cot x] x-0-

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Q: V-x – 2 – V3 te lim x--5 -x - 5

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Q: tan? 3.x lim x→0 4x2

A: Given: limx→0tan23x4x2

Q: 2Tan 'x -x 9. lim, 2x – Sin^x

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Q: lim xS0 cos2x - cos x / x^2

A: To find: limx→0 cos2x-cos xx2

Q: |x + 2| lim (x + 3) I--2 x + 2

A: The direction in which the variable x goes helps to find the limit of the given function. If there…

Q: 8. lim xx = 1 00-X 9.lim (1 – 2x)x = e¯2

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Q: sec x lim x/2 sec (5x)

A: limx→π/2 sec2xsec25x=limx→π/2cos25xcos2xlimx→π/2 cos25x=cos25π2=0limx→π/2 cos2x=cos2π2=0 Now by…

Q: lim x---q 1/x - 8

A: Limit of a function is the value that function seems to achieve as function approaches certain value…

Q: 2) lim-(x-) ta tan x

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Q: lim (4+ (2? + y°) In(x² + y²)) (1,y)(0,0)

A: Given; lim(x,y)=(0,0)[4+(x2+y2)ln(x2+y2)]

Q: lim x-x 10 √x + (Inx)¹0 +5 3√x + (lnx) ¹00 + 10

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Q: lim x---q (1 + 2f (x))

A: To evaluate the limit: limx→ q1+2fx

Q: 4. lim x5 x- Note* the sign is negative -1/2 5. lim va N. -- I. 2v2 6. lim 3x Vx Н. 243 3 x-27

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Q: 2x^5-x^4-1/8x^5+x^3+x-2

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Q: lim エ→4 - V8 -x

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Q: lim (lnx/x1/2 - 1/x)  ? x-->infinity

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Q: lim (-4 0 sin x x

A: Let ,I=limx→ 01sinx-1xTaking cross multilplicationI=limx→ 0x-sinxxsinxI=0-sin(0)0sin(0)I=00Which is…

Q: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: lim (2x-5x) is x--2

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Q: lim sec x x-(-71/2)"

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Q: Evaluate

A: The limit of a function at a point is the value the function tends to as x tends to that point. For…

Q: sin(2Tx) lim x → 3 x2 – 9 | O -0.6667 T O 0.6667 T O 0.3333 ↑ О -0.3333 п

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Q: tan (3(x+h))-tan(3x) lim h→0 h

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Q: 2. lim x sec 2x

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Q: 2tan 'x -x (-) 2x – sin 'x 02. lim, -1

A: Given limx→02tan-1x-x2x-sin-1xTo evaluate the limit:

Q: lim + 4x - - X00

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Q: TX = tan 4 f(x) = TX tan 4 lim x→-2- TX lim tan 4 x→-2 -6 2 6 II

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Q: lim                ex - x - 1 / x2 x => 0

A: Given:

Q: Find the limit

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Q: lim h-->inf   10/ (h^2+100)

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Q: 2Tan 'x - x 9. lim,0 'x0 2x – Sin 'x

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Q: f -3 -2 -1 -2 -3 2.

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Q: 3 lim tan³ 2x x→0

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Q: 19.) lim X+2 X+-2 X ³³+8 3 tiran

A: To find limit of the given function as x approaches to -2.

Q: 2 sin x-sin 2x lim х-sin x 3 O -3 6 -6 о O O

A: Given- limx→02sinx-sin2xx-sinx To Find- The valuie of the limit.

Q: lim Q3/ Evaluate -costx) 3 sec x (1+ X /2

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Q: 2+ sec (3x) (c) lim x→7/6 tan (3x) 1

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Q: 2tan x- x lim, -1 2х -sin " x,

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Q: 1 lim(x²-3x+1) 3. lim tan(x²) 7. lim 2²-1-2 x²-4

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: lim (x2 + 2)sechx X→+0

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Q: lim tan x x- ->

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.