If the limit of a function is positive infinity, is there no limit? If the limit of a function is positive infinity, is there no limit?

If the limit of a function is positive infinity, is there no limit? If the limit of a function is positive infinity, is there no limit?

Yes, if the limit is infinite, then it is defined as the limit does not exist. However, if the limit is infinitesimal, then the limit exists

Is the nonexistence of limit the same as the infinity of limit?

It's not the same
The limit is infinite, belongs to the limit does not exist
But there is no limit to the breakpoint of oscillation, such as sin (1 / x)
x→0

Is limit nonexistent when limit is infinite

Limit refers to the variable in a certain process of change, gradually stable such a trend and the trend of the value (limit value)
Therefore, when the limit is infinite, the limit does not exist, that is, the limit value does not exist