Evaluate
\left(1+\frac{1}{n}\right)^{30}
Expand
1+\frac{30}{n}+\frac{435}{n^{2}}+\frac{4060}{n^{3}}+\frac{27405}{n^{4}}+\frac{142506}{n^{5}}+\frac{593775}{n^{6}}+\frac{2035800}{n^{7}}+\frac{5852925}{n^{8}}+\frac{14307150}{n^{9}}+\frac{30045015}{n^{10}}+\frac{54627300}{n^{11}}+\frac{86493225}{n^{12}}+\frac{119759850}{n^{13}}+\frac{145422675}{n^{14}}+\frac{155117520}{n^{15}}+\frac{145422675}{n^{16}}+\frac{119759850}{n^{17}}+\frac{86493225}{n^{18}}+\frac{54627300}{n^{19}}+\frac{30045015}{n^{20}}+\frac{14307150}{n^{21}}+\frac{5852925}{n^{22}}+\frac{2035800}{n^{23}}+\frac{593775}{n^{24}}+\frac{142506}{n^{25}}+\frac{27405}{n^{26}}+\frac{4060}{n^{27}}+\frac{435}{n^{28}}+\frac{30}{n^{29}}+\frac{1}{n^{30}}
Share
Copied to clipboard
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}