When an exponent goes to infinity, the limit is equal to infinity. This means that the value of the exponent continues to increase without bound as the input value approaches infinity.
To calculate the limit of an exponent when it goes to infinity, you can use the rule that states the limit of xn as x goes to infinity is infinity if n is positive, and 0 if n is negative.
When the base of an exponent is greater than 1, the limit of the exponent as it goes to infinity will also be infinity. This is because as the input value increases, the exponent will also increase, resulting in a larger and larger value.
If the base of an exponent is between 0 and 1, the limit of the exponent as it goes to infinity will be 0. This is because as the input value increases, the exponent will decrease, resulting in a smaller and smaller value.
No, the limit of an exponent cannot be negative when it goes to infinity. This is because as the input value increases, the exponent will always result in a positive value, regardless of the sign of the base.