x² x3 log(1 + x) = x – - 2 3 4 for -1 < x < 1, by first calculating by long division 7 the series 1 =1 – x + x² – x³+ .., 1+x odi and then integrating termwise between 0 and x. 5. Prove that 1+x log x7 +.. = 2 x + %3D 5 laimonylog for – 1 < x < 1, and hence :). 3 1 +.. 535 hg?-2+ ) 1 1 1 log 2 = 2 3. 1 8. %3D 3 33 . Supply the details of the following derivation, due to Euler, of the infinite series expansion for log(1+x): (a) Show that log(1 + x) can be given by the limit = lim n[(1+x)/" – 1]. log(1 + x) = lim n[(1 -

Q: a) How many students are taking Art?

A: the number of students taking Art if given by 6+10=16

Q: What is the Probability that a student is not taking either class?

A: From the given Venn diagram, it is observed that the number of students who are taking art only is…

Q: C3x2 + – 4 kx - 5x- 6.

A:

Q: 3. H-8)- (4-8) -10

A:

Q: 7 11

A:

Q: (-3)² ÷ 3 • (5 - 10 + -8)

A:

Q: 1. For what values of a does the function f have a local (relative) maximum on (0,8)? Answer…

A: 1. For x= 3, the function  f(x) has a local maximum in the interval (0,8) 2. For x=2  , the function…

Q: Find g C4

A: Here we have to find the value of 9C4.

Q: 3&amp;4 please

A: (3) Given that, the normal distribution has a population mean is, μ=50 The expected value of the…

Q: 11 35

A:

Q: how did you get infinity

A: we need to know that limx→∞(x)=∞ and limx→∞x2=∞and∞=∞

Q: Evaluate -up-

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.