```python
from sympy import *; x,h,t,y,z,n   = symbols("x h t y z n", real=True)
f, g, h = symbols('f g h', cls=Function)

for n in range(1,21,5):   
    f = E**(x/n)
    g = E**(x/(n+1))
    h = E**(x/(n+2))
    p0 = plot(f,g,h,show = False,xlim = (1,10.5),size = (13,4),legend = True)
    p0[0].line_color = 'r'
    p0[1].line_color = 'g'
    p0[2].line_color = 'b'
    p0.show()

```


```python
n = symbols('n')
Eq(Limit(E**(x/n),n,oo),Limit(E**(x/n),n,oo).doit())
```




$\displaystyle \lim_{n \to \infty} e^{\frac{x}{n}} = 1$



8be7cab149675d38e4c03967d32c26ec9d0754d4
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Personal_Projects/Limit of The Denominator When Euler's Number Is Raised To A Fraction.ipynb
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Personal_Projects/Limit of The Denominator When Euler's Number Is Raised To A Fraction.ipynb
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8f8160fbf0aa4fd514d4a5046668a194997aade6
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NSC9/Sample_of_Work
8f8160fbf0aa4fd514d4a5046668a194997aade6
MIT
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