z²+1 lim- z4-1 %3D z-1 3.

Q: 10. lim, [(2)(x²+x-5)] A. -6 B. 0 C. -2 5 D. 4

A:

Q: (a) limx➔oo x 3 = oo (b) limx➔-oo x 3 = -oo (c) limx➔-oo x 4 = oo

A: To check limit of x3 as x→∞ To construct a table by taking larger values of x and finding…

Q: 2x4 y lim (x,y)→(0,0) x³ + 6y²

A: We will discuss about the given limit.

Q: Vx+5-3 b) lim x→4 х-4

A:

Q: Find the limits

A:

Q: х2-2х-3 6. lim х-з х2-4х+3

A:

Q: Find the limits by rewriting the fractions first.

A:

Q: I+3 lim z-3 + x- 6

A:

Q: V1+ 4x6 lim t→-o 2 – x³

A:

Q: 5y³ + 8y² 30. lim y→0 3y* – 16y²

A:

Q: x5-5x-12 1. lim х—2 х10-500х-24

A:

Q: 2x*y lim (x,y)→(0,0) x8 + 6y²

A:

Q: iz?-z- lim- z2-1 %3D i0 -i O 00

A:

Q: Vx+11-4 (b) lim- x- 5 X-5

A:

Q: (x²y3 - 5y2) lim (x, y) →(4, 2)

A: Given that, There is an expression of limit is following, lim(x, y)→(4, 2)(x2y3-5y2) We have to find…

Q: y3 + 8 lim -2 y+2 II

A: To find:limy→- 2y3+8y+2

Q: 3x2 (b) lim х30 х+1-ех

A:

Q: x²+ a² – Vx² +b² lim - Væ² + c² – Va2 + d² -

A: Since if we put x tends to zero than it becomes inf/inf form. So use another approach to solve this…

Q: Q: find lim \-c०s2 2->০

A:

Q: х2—х-2 b. lim х -3 х3-2х2-3х

A: Let’s evaluate the limit  limx→3 x2-x-2x3-2x2-3xlet’s find LHL and RHL if LHL=RHL then the limit…

Q: 9r2 +2r 5 (h) lim 5x +3

A: Topic = Limits As per guidelines , At a time only one question can be answered. please repost for…

Q: If limz - - 19+561 (z² + 38z) = x + iy, what is the value of x - y ?

A:

Q: limy 2 X- 2

A: Here we have to evaluate limx→21x-12x-2

Q: (a) 5x-3 - 4 (i) Lim x-+00 2x-2 +9 (x- 3)2 (ii) Lim 7- 2x – 3

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3 x° + y lim (х,у)>(1,-1) х +у

A:

Q: h 4 (b) Lim h-0 V5h + 4 - 2

A:

Q: et* -1-4x 4х b. lim x-

A: The indeterminate form of limits is an expression that cannot be determined after the substitution…

Q: 6xh + 3h2- 5h lim h-0

A: On directly substituting the limit, the indeterminate form 00 will be obtained. So, in such a way…

Q: 2. Calculate x2-4x+8 lim 3x3

A:

Q: Find the limits

A: The given expression is limt→-1t2+3t+2t2-t-2

Q: x3-3x+2 lim-1 (x-1)2 12 15 18 O 3 6.

A:

Q: xy lim (x.y)→(4,3)x²+y²

A: find the following limit

Q: a +b° + c° limy- 3 8.

A: the given limit is ,                     lim(x→∞ax+bx+cx3)1x in order to find the limit first take…

Q: 8y – 24 lim y-3 2y - 6

A: Given limy→38y-242y-6

Q: 4x 5e2* – 3e 6e2* + 2e 2. lim -4x x-00

A:

Q: Vz2+4-2 (d) lim 22

A: We can find the limit as below.

Q: V3 - 2 lim H:-4 5.

A:

Q: 21. lim V2x-6 -3+

A: Topic  = Limits

Q: Find the limits

A: To find limitlimh→05h+4−2h

Q: Vz - 3 lim z-3 z2- 9

A: We know,  limx→af(x)=f(a) a2-b2=(a-b)*(a+b)

Q: i) lim -5n° (n² –100)]= %3D

A:

Q: + 3х — 1 V4r6 – 2x lim -00

A: Given that:limx→-∞x3+3x-14x6-2x

Q: 14. lim (y³ – 2y² + 3y – 4) y→-1

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: b) 49-(5+ x)² x-2 lim-

A: Use L.Hospital rule to evaluate above limit as in next step.

Q: (а) 5x-3 – 4 (i) Lim- x-00 2x-2 +9 (х— 3)2 (ii) Lim X-00 X T- 2x – 3

A:

Q: 2. lim. (2y² + y+ 4) ソ→-1

A: Given: limy→-1(2y2+y+4)

Q: 5n³ + (–1)". If y = lim 4n³ + 2

A:

Q: (eog(x+g) limlx+y-1 2)- 2.

A:

Q: 3x 2х 2) Lim х-1 х+1° X → 00

A: Given,   limx→∞(3xx-1-2xx+1)

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.