Final answer:
The limit as x approaches 0 along the path y = x does not exist.
Step-by-step explanation:
The question asks to find the limit as x approaches 0 along the path y = x. To do this, we need to substitute x for y in the given function and evaluate the limit. So we have:
limx->0 (1/x) = limx->0 (1/x)
As x approaches 0, the value of 1/x becomes infinite (approaches positive infinity if x approaches 0 from the positive side, and approaches negative infinity if x approaches 0 from the negative side). Therefore, the limit as x approaches 0 along the path y = x does not exist.