Evaluate: \( \lim _{n \rightarrow \infty}\left({ }^{2 n} C_{n}\right)^{1 / n} \)
Evaluate: \( \lim _{n \rightarrow \infty}\left({ }^{2 n} C_{n}\right)^{1 / n} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-06-09 | Match the following Column-I with Column-II
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c... |
| 2023-06-09 | \( \lim _{x \rightarrow 0} \frac{\int_{0}^{x^{2}}\left(\tan ^{-1} t\right)^{2} d t}{\int_{0}^{x^... |
| 2023-06-09 | \[
\int_{a}^{b} x^{n-1} \frac{\left((n-2) x^{2}+(n-1)(a+b) x+n a b\right)}{(x+a)^{2}(x+b)^{2}} d... |
| 2023-06-09 | Let \( f(x) \) be positive, continuous, and differentiable on the interval \( (a, b) \) and \( \... |
| 2023-06-09 | Evaluate: \( \int_{0}^{1} \frac{d x}{\left(5+2 x-2 x^{2}\right)\left(1+c^{2-4 x}\right)} \) |
| 2023-06-09 | Evaluate: \( \int_{0}^{\infty} \frac{\ln x d x}{x^{2}+2 x+4} \) |
| 2023-06-09 | Evaluate: \( \int_{\pi / 6}^{\pi / 4}\left[\frac{\sec x+\operatorname{cosec} x-\sec x \operatorn... |
| 2023-06-09 | Evaluate \( \int_{0}^{1} \frac{d x}{x^{2}+2 x \cos \alpha+1} \) where \( -\pi\alpha\pi \) |
| 2023-06-09 | Evaluate \( \int_{1 / 3}^{3} \frac{\sin ^{1} \frac{x}{\sqrt{1+x^{2}}}}{x} d x \) |
| 2023-06-09 | Suppose that \( f, f^{\prime} \) and \( f^{\prime \prime} \) are continuous on \( [0, \ln 2] \) ... |
| 2023-06-09 | Evaluate: \( \lim _{n \rightarrow \infty}\left({ }^{2 n} C_{n}\right)^{1 / n} \) |
| 2023-06-09 | \( \int_{0}^{2 n \pi}\left(|\sin x|-\left[\left|\frac{\sin x}{2}\right|\right]\right) d x \quad[... |
| 2023-06-09 | Find the value of definite integral
\[
\frac{\int_{0}^{\pi}(\sqrt[2013]{\cos x}+\sqrt[2013]{\sin... |
| 2023-06-09 | \( \int_{0}^{\pi / 2} \frac{\cos x-\sin x}{1+\sin x \cos x} d x= \) |
| 2023-06-09 | Find the value of \( \int_{0}^{1-e^{-2}} \frac{\ln (1-t)}{1-t} d t \) |
| 2023-06-09 | \( \int_{0}^{1} \sqrt[3]{2 x^{3}-3 x^{2}-x+1} \cdot d x \) |
| 2023-06-09 | Let \( a_{n}=\int_{0}^{\frac{\pi}{2}} \frac{1-\cos (2 n x)}{1-\cos (2 x)} d x \), then the value... |
| 2023-06-09 | Let \( f(x)\left\{\begin{array}{c}\int_{-1}^{x}|t-2| d t ; \quad x \neq 2 \\ k ; \quad x=2\end{a... |
| 2023-06-09 | Suppose \( f \) is continuous, \( f(0)=0, \mathrm{f}(1)=1, f^{\prime}(x)0 \) and \( \int_{0}^{1}... |
| 2023-06-09 | e.g. the value of \( I=\int_{0}^{1} e^{\sqrt{e^{x}}} d x+2 \int_{e}^{e^{\sqrt{e}}} \ln (\ln x) d... |
| 2023-06-09 | The value of the definiteintegral \( \int_{0}^{2 n \pi} \max .\left(\sin x, \sin ^{-1}(\sin x)\r... |
0