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prog_SAHIL
  • Member for 8 years, 6 months
  • Last seen more than a month ago
8 votes
2 answers
221 views

Calculate, $f\bigg(\frac{1}{1997}\bigg)+f\bigg(\frac{2}{1997}\bigg)+f\bigg(\frac{3}{1997}\bigg)\ldots f\bigg(\frac{1996}{1997}\bigg)$ [duplicate]

6 votes
3 answers
1k views

Calculate $\lim_{x\to{0^+}}\frac{\log_{\sin{x}}{\cos{x}}}{\log_{\sin{\frac{x}{2}}}\cos{\frac{x}{2}}}$

6 votes
4 answers
3k views

$100$ consecutive natural numbers with no primes

6 votes
2 answers
467 views

Evaluate the limit containing $\arctan{x}$ and $\arcsin{x}$

4 votes
5 answers
96 views

Evaluate limit containing $\sum{n^6}$

4 votes
3 answers
592 views

$\tan{A} \cdot \tan{B} \cdot \tan{C}=9$, find $\tan^2{A}+\tan^2{B}+ \tan^2{C}$

4 votes
2 answers
143 views

Area bounded by $y=\sqrt{\frac{1+\sin{x}}{\cos{x}}}$ and $y=\sqrt{\frac{1-\sin{x}}{\cos{x}}}$

3 votes
4 answers
184 views

Integrate $\int_0^1{\frac{\ln{x}}{1+x}}dx$ using $\sum{\frac{1}{k^2}}=\frac{\pi ^2}{6}$

3 votes
0 answers
70 views

Weird notation for function

3 votes
3 answers
87 views

Solving $ \lim_{x\to0}{\frac{1}{x^2}-\cot^2(x)}$

3 votes
1 answer
157 views

Find a period if $f(x+k)=1+(2-5f(x)+10f(x)^2-10f(x)^3+5f(x)^4-f(x)^5)^{\frac{1}{5}}$

3 votes
4 answers
319 views

The priority of limits

3 votes
2 answers
2k views

Random point inside an equilateral triangle

3 votes
3 answers
787 views

How to evaluate inverse trigonometric functions in exponents?

3 votes
3 answers
275 views

Evaluating $\lim_{x\to0}\frac{x\sin{(\sin{x})}-\sin^2{x}}{x^6}$ [duplicate]

2 votes
1 answer
1k views

Evaluate $\lim_{x\to \infty}\frac{x^{2018}+2017^x}{x^{2017}+2018^x}$

2 votes
4 answers
116 views

Range of $f(x)= \frac{\tan{x}}{\tan{3x}} $

2 votes
4 answers
507 views

Probability that we pass through the park

2 votes
1 answer
120 views

Differential Equation : $\frac{dy}{dx} +\int_0^5{y\,dx}=27$

2 votes
3 answers
62 views

If $f(x)=\lim_{t\to\infty}{\frac{(1+\sin{\pi x})^t-1}{(1+\sin{\pi x})^t+1}}$, then range of $f(x)$ is?

2 votes
1 answer
3k views

Proving that a sequence is periodic

2 votes
1 answer
285 views

Prove that, $\left\lfloor{\frac{x}{n}}\right\rfloor=\left\lfloor{\frac{\lfloor{x}\rfloor}{n}}\right\rfloor$ where $n \in{\mathbb{N}}$ [duplicate]

2 votes
1 answer
55 views

Why isn't this true for $x<0$?

2 votes
1 answer
139 views

Evaluate $\lim_{n\to{\infty}}\frac{e(1-\frac{1}{n})^n-1}{n^{\alpha}}=c$

2 votes
3 answers
177 views

How to integrate $\int{\frac{\ln(1+t)}{t^2+1}}dt$

1 vote
0 answers
47 views

Given, $f(x)=f(2x)$ evaluate $\int_{-1}^1{f(f(x))}dx$ [duplicate]

1 vote
1 answer
62 views

Problem in reducing a expression

1 vote
3 answers
1k views

Properties Of Modulo

1 vote
0 answers
153 views

$\int{({\sin{x}})^{101}\cdot \sin{99x}}\ dx$

1 vote
1 answer
100 views

Smallest interval for the value of $\int_0^1\frac{x}{x^3+16} $