Analysis: In-Depth Explanation and More!

Prove inequality $e^{x} > \frac{x^{n + 1}}{n + 1!}$

obrozenecy6 2022-01-13

Asymptotic behaviour of $\int_{0}^{1} f (x) x^{n} d x as n \to \infty$

untchick04tm 2022-01-13

(a) How would you differentiate among multiple discriminant analysis, regression analysis, logistic regression analysis, and analysis of variance?
(b) Explain at least two use cases from Marketing where discriminant analysis can be useful. Your answer needs to give the details of the scenario clearly.
(c) Explain all the steps involved in Discriminant Analysis along with a detailed interpretation of the key outs of the model.

Painevg 2022-01-13

$| f (Z p) |$ has at most 0 as a limit point in the non-zero reals

veksetz 2022-01-13

Proof that $a^{\frac{1}{m}} < a^{\frac{1}{n}}$ with $m < n, 0 < a < 1$ and $n, m \in N$

tripiverded9 2022-01-13

Sum of bounds of $\sum \frac{1}{a^{n} + b^{n}}$

Tara Alvarado 2022-01-13

Verification of the limit of a succession
$lim_{n \to + \infty} \frac{\ln (n + 1)}{2 n} = 0$
Procedure.
$| \frac{\ln (n + 1)}{2 n} | < ϵ$

Sam Longoria 2022-01-13

Calculate the sum of the series
$\sum_{n = 1}^{\infty} \frac{n + 12}{n^{3} + 5 n^{2} + 6 n}$

Pamela Meyer 2022-01-13

Find the derivative of a function with new variable
Suppose $f (x - 3) = {(x - 2)}^{2}$ and find the $f^{'} (x^{2} + 5)$

Juan Hewlett 2022-01-13

Proving that $x - x^{2}$ is a contraction without mean value theorem

Ben Shaver 2022-01-13

Understanding a statement about the series
$S = \sum_{2}^{\infty} \frac{1}{n \ln n}$

Victor Wall 2022-01-12

How do I prove that $f (x) = x^{2} - 4 x + 3$ is injective at $(- \infty, 2)$ and $(2, \infty)$

Gregory Jones 2022-01-12

Does the function $f (x) = \frac{1}{x}$ have an inverse function?

Victor Wall 2022-01-12

Why $lim_{n \to \infty} \frac{{(2^{2})}^{\sqrt{n}}}{{(1 + {(10)}^{- 2^{2}})}^{n}}$

zagonek34 2022-01-12

How can we verify this limit via $ϵ - δ$ method?
I have to calculate the limit
$lim_{x \to 0} \frac{1 - \cos (x)}{3 \sin^{2} (x)}$

Ernest Ryland 2022-01-12

How to prove whether $S = {(x, y) \in R : y > x^{2}}$
is open with open set definition

Sallie Banks 2022-01-12

I try to study the convergence or divergence of the series
$\sum_{n = 2}^{\infty} \frac{{(- 1)}^{n}}{n + {(- 1)}^{n}}$ . We can see that this series diverges absolutely, because $\sum_{n = 2}^{\infty} \frac{1}{| n + {(- 1)}^{n} |}$ is a rearrangement of $\sum_{n = 2} \frac{1}{n}$ which equals to $+ \infty$ . Consequently, we can't say for sure that the rearrangement $\sum_{n = 2}^{\infty} \frac{{(- 1)}^{n}}{n + {(- 1)}^{n}} of \sum_{n = 2}^{\infty} \frac{{(- 1)}^{n}}{n}$ converges. That's the part where I am stuck. How exactly can I study the convergence (or not) of the first series?
Should I apply Cauchy's criterion and prove that
$s_{n} = \sum_{k = 2}^{n} \frac{{(- 1)}^{k}}{k + {(- 1)}^{k}}, n \in N$ is a basic sequence?

Gregory Jones 2022-01-12

If $f_{n} \geq 0$ a.e. and $f_{n} \to f$ in measure then $f \geq 0$ a.e.

Frank Guyton 2022-01-12

Prove that $f (x) = x^{2}$ is integrable using superior and inferior sums

The Math analysis problems represent one of the most challenging problems for college students because the use of analysis is never easy. The best thing you can do is to see the answers to the questions that you have. You can take these analysis examples and examine each line to see how these came about. If you are unsure about something, it is good to start with the problem and pose it in different words. It will help you to achieve success with the logical proceeding as you provide analysis for the changes, alterations, assumptions, or mathematical-statistical data being used.

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