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Prakhar Nagpal's user avatar
Prakhar Nagpal's user avatar
Prakhar Nagpal's user avatar
Prakhar Nagpal
  • Member for 7 years
  • Last seen more than 1 year ago
7 votes
3 answers
225 views

Finding the coefficient of $x^2$ in $\tiny{\left(\left(\left(\left(x-2\right)^2-2\right)^2-2\right)^2-\cdots-2\right)^2}$

5 votes
2 answers
1k views

Value of $n$ for which the function $x^n \sin {\frac{1}{x}}$ is continuous at $x=0$

5 votes
2 answers
297 views

Contest Math Geometry problem related to Tangents of a circle

5 votes
4 answers
4k views

Sum of the cubes of the first $n$ natural numbers [closed]

4 votes
4 answers
110 views

Question in Number theory about primes greater than 3

4 votes
5 answers
150 views

Solve: $2^x\Bigl(2^x-1\Bigl) + 2^{x-1}\Bigl(2^{x-1} -1 \Bigl) + .... + 2^{x-99}\Bigl(2^{x-99} - 1\Bigl) = 0$

3 votes
2 answers
79 views

Finding limit as $x \rightarrow 0$

3 votes
3 answers
6k views

Number of way $5$ people can be divided into $3$ groups

3 votes
4 answers
282 views

Question in Number Theory about divisibility

2 votes
2 answers
221 views

Polynomials factor Theorem

2 votes
1 answer
243 views

Algebra and polynomials

2 votes
1 answer
245 views

Question about integral triangles measures with equal area and perimeter

2 votes
1 answer
168 views

The need for rigorous proofs in Sets

2 votes
2 answers
3k views

Finding the number of non-negative integral solutions of $x + y + z = 10$

2 votes
1 answer
74 views

To show that for $n\geq 1$ Each $n$ element set has $2^{n-1}$ subsets of even and odd size each

1 vote
2 answers
150 views

$n^2$ coins on a board flipping game

1 vote
2 answers
85 views

Applying squeeze theorem to a function $(-1)^n$

1 vote
1 answer
53 views

Limit and behavior of function around $0$

1 vote
2 answers
90 views

MAT 2019 Question $2$- Coefficients of polynomials and their degrees

1 vote
2 answers
61 views

Equality occurring at two different values for a three way inequality

1 vote
0 answers
93 views

Number of solutions $2^\frac{1}{\sin^2 x_2} \cdot 3^\frac{1}{\sin^2 x_3}\cdot\;\cdots\;\cdot n^\frac{1}{\sin^2 x_n} \leq n!$ with $x_i\in(0,4\pi)$

1 vote
4 answers
102 views

Algebraic Inequality involving AM-GM-HM

1 vote
5 answers
511 views

Finding the minimum value of $\log _d a + \log _bd + \log _ac + \log _c b$

1 vote
2 answers
165 views

Confusion about contained in and subset

1 vote
3 answers
2k views

Remainder of a Polynomial of a very high degree on division

1 vote
2 answers
324 views

Miscellaneous Olympiad Problem

1 vote
1 answer
85 views

Understanding the basic idea of Infinity [duplicate]

0 votes
1 answer
56 views

Proof related to combinatorics

0 votes
1 answer
41 views

Defining a rigorous equation for the distance

0 votes
1 answer
35 views

Finding the sum of an Infinite GP given $a_1 = 1$ and $4a_2 + 5a_3 $ has least value