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.
Thank you! And sorry for my English, not my primary language, that's why "sin" is written "sen".
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}
