Is there a way to find the function "L" in this piecewise function, for the function to be continuous in (0 ,0)? I tried this:
piecewise[{((x^4*y^2)/(x^8+y^4))*senx, (x,y)!=(0,0)}, {(L)}=(0,0)]
But it doesn't work. Thanks.
Hi Christopher,
There are several syntax errors in the code. Should be
Piecewise[{{(x^4*y^2)/(x^8 + y^4)*Sin[x], x != 0 && y != 0}, {L, x == 0 && y == 0}}]
This seems like a homework problem, so a hint. For the function to be continuous, L must have the same value as the first part of the piecewise at {0, 0}.
{0, 0}
Thank you! And sorry for my English, not my primary language, that's why "sin" is written "sen".
