|
- algebra precalculus - Evaluating $\frac {1} {a^ {2025}}+\frac {1} {b . . .
Well, the image equation is a different equation? One has $\frac1 {2024}$ on the right, and the other has $2024$ on the right?
- Evaluating $\\lim_{n\\to\\infty}\\left( \\frac{\\cos\\frac{\\pi}{2n . . .
Since the OP solve his her problem, I just as well complete the solution: \begin {align} \frac {1} {n+1}\sum^n_ {k=1}\cos\left (\tfrac {k\pi} {2n}\right) =\frac {n
- Evaluating $ \\lim_{x \\to 0} \\frac{e - (1 + 2x)^{1 2x}}{x} $ without . . .
The following is a question from the Joint Entrance Examination (Main) from the 09 April 2024 evening shift: $$ \lim_ {x \to 0} \frac {e - (1 + 2x)^ {1 2x}} {x} $$ is equal to: (A) $0$ (B) $\frac {-2} {
- integration - Evaluating $\iiint z (x^2+y^2+z^2)^ {−3 2}\,dx\,dy\,dz . . .
Spherical Coordinate Homework Question Evaluate the triple integral of $f (x,y,z)=z (x^2+y^2+z^2)^ {−3 2}$ over the part of the ball $x^2+y^2+z^2\le 81$ defined by
- Evaluating $\\prod_{n=1}^{\\infty}\\left(1+\\frac{1}{2^n}\\right)$
Compute:$$\prod_ {n=1}^ {\infty}\left (1+\frac {1} {2^n}\right)$$ I and my friend came across this product Is the product till infinity equal to $1$? If no, what is the answer?
- limits - Evaluating $\lim\limits_ {n \to \infty} ( (n^3 + n^2 + n + 1 . . .
You should instead multiply the limit in such way, that you get difference of cubes in the numerator By multiplying with $\displaystyle \frac { (n^3 + n^2 + n + 1
- Evaluating $\lim\limits_ {n\to\infty} e^ {-n} \sum\limits_ {k=0}^ {n . . .
I'm supposed to calculate: $$\\lim_{n\\to\\infty} e^{-n} \\sum_{k=0}^{n} \\frac{n^k}{k!}$$ By using WolframAlpha, I might guess that the limit is $\\frac{1}{2
|
|
|