Ishaan94
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Questions Asked

Ishaan94:
$$\begin{align}\mathsf{\text{Compute}\;\lim_{n\to \infty} \left(a_n\right)^{1/n^2} \text{where,}\, \\ a_n=\left(1+\frac{1}{n^2}\right)\cdot…
 updated one year ago
 24 replies
 No Medals Yet
Mathematics

Ishaan94:
Given a Polynomial, \(p(x) = a_0 + a_1x^2 + \ldots +a_nx^n\). How would I get number of real roots for \(p(x)=0\)?
 updated one year ago
 9 replies
 1 Medal
Mathematics

Ishaan94:
$$\mathsf{\large a_n = \underbrace{1\ldots 1}_{3^n\text{digits}}}$$ $$\mathsf{\text{Prove,}\quad a_n\equiv 0\mod{3a_{n1}}}$$
 updated one year ago
 10 replies
 2 Medals
Mathematics

Ishaan94:
Q. Show that the function \(f(x)\) defined below attains a unique minimum for \(x > 0\). What is the minimum value of the function? What is …
 updated one year ago
 6 replies
 1 Medal
Mathematics

Ishaan94:
Why do we calculate Prime numbers? Is calculating largest Prime number helpful to us? Are they being used in Cryptography?
 updated one year ago
 13 replies
 2 Medals
Mathematics

Ishaan94:
Is there a slick/quick/better way to get the \(nth\) derivative of \(x f(x) = \log x\)? Or, to show \[f^{(n)}(1) = (1)^{n+1} n! \left(1 + \…
 updated one year ago
 39 replies
 4 Medals
Mathematics

Ishaan94:
How would you evaluate such Limit?
\[\lim_{n\to\infty} \frac{1\cdot3\cdot5\cdots(2n1)}{2\cdot4\cdot6\cdots2n}\]
 updated one year ago
 14 replies
 5 Medals
Mathematics

Ishaan94:
What's this? lol
 updated one year ago
 8 replies
 4 Medals
Mathematics

Ishaan94:
Show that if \(a\) and \(b\) are positive integers, then \[\qquad \qquad \large\left(a + \frac12\right)^n +\left(b+ \frac12\right)^n\]is an …
 updated one year ago
 23 replies
 1 Medal
Mathematics

Ishaan94:
There should be a feature on unfollowing or stop getting notifications from a particular thread/post. I know we all can chose to ignore it,…
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

Ishaan94:
If \(\large \left\frac{z_1 + z_2}{z_1  z_2}\right = 1\), \(z_2 \neq 0\) and \(z_1 \neq z_2\). Then what do we know about \(\frac{z_1}{z_2…
 updated one year ago
 8 replies
 1 Medal
Mathematics

Ishaan94:
Find the number of ways in which three numbers can be selected from the set \(\{1,2,3,\ldots,4n\}\), such that the sum of the three selected…
 updated one year ago
 24 replies
 2 Medals
Mathematics

Ishaan94:
How do I check if a Number is Fibonacci or not?
 updated one year ago
 4 replies
 2 Medals
Mathematics

Ishaan94:
My Own Space
 updated one year ago
 13 replies
 No Medals Yet
Mathematics

Ishaan94:
Find all the roots of the equation \(x^51=0\).
 updated 2 years ago
 24 replies
 4 Medals
Mathematics

Ishaan94:
Find the constant term.\[\left(x^{2}\frac{2}{x}\right) ^{5} \left(2+\frac{1}{x}\right) ^{4}\]
 updated 2 years ago
 2 replies
 3 Medals
Mathematics

Ishaan94:
Compute.\[\lim_{n\to\infty} \left(\frac{n^n}{n!}\right)^{1/n}\]
 updated one year ago
 67 replies
 3 Medals
Mathematics

Ishaan94:
Puzzle #101
 updated one year ago
 9 replies
 4 Medals
Mathematics

Ishaan94:
Happens nearly every time, the whole page just freezes and I lose all my work >:/
 updated 2 years ago
 6 replies
 5 Medals
Mathematics

Ishaan94:
Find the last three digits of the Number \(2003^{2002^{2001}}\).
 updated 2 years ago
 16 replies
 3 Medals
Mathematics

Ishaan94:
Let \(f(x)\) be a continuous function, whose first and second derivatives are continuous on \([0,2\pi]\) and \(f"(x) \ge 0 \:\: \forall \:x …
 updated 2 years ago
 40 replies
 6 Medals
Mathematics

Ishaan94:
I am not sure if it's right to ask.
How do you guys guess/think of Integrating Factor? Practice, Experience, Critical thinking of course,…
 updated 2 years ago
 2 replies
 No Medals Yet
Mathematics

Ishaan94:
\[(1+xy)y dx + x(1xy)dy = 0\]
Get the general solution.
 updated 2 years ago
 5 replies
 1 Medal
Mathematics

Ishaan94:
\[\left(x\cos \frac{y}{x} + y\sin \frac{y}{x} \right)y dx + \left( x\cos \frac{y}{x}  y\sin\frac{y}{x}\right)x dy = 0\]
Get the general…
 updated 2 years ago
 4 replies
 1 Medal
Mathematics

Ishaan94:
Something is wrong with my Code, I need my code to get last target string's position. (Homework 6 Unit 2, Udacity)
def find_last(string_s…
 updated 2 years ago
 15 replies
 4 Medals
Mathematics

Ishaan94:
Is the Relation Set {(1,2)} Transitive?
I think it's not.
 updated 2 years ago
 1 reply
 No Medals Yet
Mathematics

Ishaan94:
Two lines drawn at right angles, one being a tangent to \(y^2=4ax\) and the other to \(x^2=4by\). Find the locus of their point of intersect…
 updated 2 years ago
 3 replies
 No Medals Yet
Mathematics

Ishaan94:
What is the symmetric function for \(α^5+β^5\)?
 updated 2 years ago
 28 replies
 4 Medals
Mathematics

Ishaan94:
What are Scripts (In reference of Web designing) and Why are they used for Web designing? Why aren't HTML and PHP enough for making a Websit…
 updated 2 years ago
 26 replies
 2 Medals
Mathematics

Ishaan94:
Anyone good with Calculus?
http://openstudy.com/users/ishaan94#/updates/4f1d3334e4b04992dd2401cb
 updated 2 years ago
 3 replies
 No Medals Yet
Mathematics
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