Find f(infinity) for the complex function:
1/z+3
is that 1/z + 3 or 1/(z+3) ?
Take a look at
https://math.stackexchange.com/questions/1792628/complex-variable-limit-at-infinity
1/(z+3)
To find the limit of a function as it approaches infinity, we need to look at its behavior as the input gets larger and larger. In this case, we have the complex function f(z) = 1/z + 3.
In order to evaluate the limit of f(z) as z approaches infinity, we can rewrite the function using the reciprocal property of division. We can express the function as:
f(z) = 1/z + 3
= (1/z)(1/1) + 3
Now, as z approaches infinity, the value of 1/z becomes infinitesimally small, which means it's essentially approaching zero. So, we can rewrite the function as:
f(z) ≈ (1/0) + 3
Now, as we approach infinity, the value of 1/0 is undefined. This means that the function f(z) is not well-defined or cannot be evaluated as z approaches infinity. Hence, we can say that f(infinity) is undefined for the given function.
In summary, the value of f(infinity) for the complex function 1/z + 3 is undefined.