Question

How to find the limit as x approaches infinity of x.

a) [infinity]
b) 0
c) 1
d) Does not exist

Answer 1

The limit of x as it approaches infinity is infinity. This is represented by x growing indefinitely as it becomes larger, therefore the answer is option (A) [infinity].

Step-by-step explanation:

The limit as x approaches infinity of x itself is simply the behavior of x as it gets larger and larger without bound. In mathematical terms, as x grows without limit, the value of x also increases without bound. Therefore, the limit does not approach a specific numerical value but continues to grow indefinitely. That means the correct answer is (a) [infinity]. The value of x does not stabilize at a number like zero or one, nor does it cease to exist; it just keeps on increasing.