>>1469993>why does picrel function of X become undefined after a certain value of X? It doesn't. It is a well defined continuous differentiable function on the interval (0, ∞)
This is a compsci problem not a maths problem.
If you enter the function as 185 * log(x) / 1.3031 you'll be able to evaluate for values in excess of x = 46
The final value you have in your pic involves 46^185 ~= 4.1 * 10^307
That's approximately 2^1022.
The next value is
47^185 ~= 2.2 * 10 ^309
it's about 50 times greater than the preceding value. It's approximately 2^1028.
1022 < 1024 = 2^10 < 1028
Computers work in binary. Someone somewhere decided that 11 bits for binary expression of the exponent, including 1 bit for sign, was enough, 52 more bits are used for the significand, and there's 1 hidden bit. That's a total of 64 bits. This makes it a double or a double-precision floating-point number. Technically, the greatest power is 2^1023 but you can look that up if you want.
It's not unique to whatever program you're using. The same limit exists in certain popular spreadsheets as well as in a number of calculators. Because they evaluate the part of the function inside the parentheses they encounter an overflow error. The log and the division play no part in the calculation because the calculation terminates before it gets to them. Like I said, if you use the very basic log laws you can easily plot that graph for greater values of x.
