#The challenge Quite simple, given an input x, calculate it's infinite power tower!

x^x^x^x^x^x...

For you math-lovers out there, this is x's infinite tetration.

Keep in mind the following:

x^x^x^x^x^x... = x^(x^(x^(x^(x...)))) != (((((x)^x)^x)^x)^x...)

Surprised we haven't had a "simple" math challenge involving this!*

#Assumptions

• x will always converge.
• Negative and complex numbers should be able to be handled
• This is code-golf, so lowest bytes wins!
• Your answers should be correct to at least 5 decimal places

#Examples

Input >> Output
1.4 >> 1.8866633062463325
1.414 >> 1.9980364085457847
[Square root of 2] >> 2
-1 >> -1
i >> 0.4382829367270323 + 0.3605924718713857i
1 >> 1
0.5 >> 0.641185744504986
0.333... >> 0.5478086216540975
1 + i >> 0.6410264788204891 + 0.5236284612571633i
-i >> 0.4382829367270323 -0.3605924718713857i
[4th root of 2] >> 1.239627729522762

*(Other than a more complicated challenge here)

The challenge

Quite simple, given an input x, calculate it's infinite power tower!

x^x^x^x^x^x...

For you math-lovers out there, this is x's infinite tetration.

Keep in mind the following:

x^x^x^x^x^x... = x^(x^(x^(x^(x...)))) != (((((x)^x)^x)^x)^x...)

Surprised we haven't had a "simple" math challenge involving this!*

Assumptions

• x will always converge.
• Negative and complex numbers should be able to be handled
• This is code-golf, so lowest bytes wins!
• Your answers should be correct to at least 5 decimal places

Examples

Input >> Output
1.4 >> 1.8866633062463325
1.414 >> 1.9980364085457847
[Square root of 2] >> 2
-1 >> -1
i >> 0.4382829367270323 + 0.3605924718713857i
1 >> 1
0.5 >> 0.641185744504986
0.333... >> 0.5478086216540975
1 + i >> 0.6410264788204891 + 0.5236284612571633i
-i >> 0.4382829367270323 -0.3605924718713857i
[4th root of 2] >> 1.239627729522762

*(Other than a more complicated challenge here)

#The challenge Quite simple, given an input x, calculate it's infinite power tower!

x^x^x^x^x^x...

For you math-lovers out there, this is x's infinite tetration.

Keep in mind the following:

x^x^x^x^x^x... = x^(x^(x^(x^(x...)))) != (((((x)^x)^x)^x)^x...)

Surprised we haven't had a "simple" math challenge involving this!*

#Assumptions

• x will always converge.
• Negative and complex numbers should be able to be handled
• This is code-golf, so lowest bytes wins!
• Your answers should be correct to at least 5 decimal places

#Examples

Input >> Output
1.4 >> 1.8866633062463325
1.414 >> 1.9980364085457847
[Square root of 2] >> 2
-1 >> -1
-2 >> 0.9999996233621105 + 0.000001166205347i
i >> 0.4382829367270323 + 0.3605924718713857i
1 >> 1
0.5 >> 0.641185744504986
-0.5 >> 1
0.333... >> 0.5478086216540975
1 + i >> 0.6410264788204891 + 0.5236284612571633i
-i >> 0.4382829367270323 -0.3605924718713857i
[4th root of 2] >> 1.239627729522762

*(Other than a more complicated challenge here)

#The challenge Quite simple, given an input x, calculate it's infinite power tower!

x^x^x^x^x^x...

For you math-lovers out there, this is x's infinite tetration.

Keep in mind the following:

x^x^x^x^x^x... = x^(x^(x^(x^(x...)))) != (((((x)^x)^x)^x)^x...)

Surprised we haven't had a "simple" math challenge involving this!*

#Assumptions

• x will always converge.
• Negative and complex numbers should be able to be handled
• This is code-golf, so lowest bytes wins!
• Your answers should be correct to at least 5 decimal places

#Examples

Input >> Output
1.4 >> 1.8866633062463325
1.414 >> 1.9980364085457847
[Square root of 2] >> 2
-1 >> -1
i >> 0.4382829367270323 + 0.3605924718713857i
1 >> 1
0.5 >> 0.641185744504986
0.333... >> 0.5478086216540975
1 + i >> 0.6410264788204891 + 0.5236284612571633i
-i >> 0.4382829367270323 -0.3605924718713857i
[4th root of 2] >> 1.239627729522762

*(Other than a more complicated challenge here)