Question

Find the limit of the function lim t→0 5et - 5 t , 1 t - 1 t , 6 1 t?

Answer 1

To find the limit of the function lim t→0 5et - 5 t , 1 t - 1 t , 6 1 t, evaluate the limit of each term separately. The limit is undefined.

Step-by-step explanation:

To find the limit of the function lim t→0 5et - 5 t , 1 t - 1 t , 6 1 t, we can evaluate the limit of each term separately.

First, for the term 5et - 5 t, we can see that as t approaches 0, both the exponential term and the linear term tend to 0, so the limit is 0.

Next, for the term 1 t - 1 t, as t approaches 0, we have 1 t - 1 t = 0, so the limit is 0.

Finally, for the term 6 1 t, as t approaches 0, the expression 6 1 t approaches infinity, so the limit is infinity.

Therefore, the overall limit of the given function is undefined.