Question

Evaluate the limit if it exists: lim t→0 ( 1 t − 1 t2 t

Answer 1

The limit as t approaches 0 of the expression (1/t - 1/t^2*t) simplifies to 0, because the terms within the parentheses cancel each other out.

Step-by-step explanation:

To evaluate the limit lim t→0 (1/t - 1/t2t), we can simplify the expression inside the limit. If we assume there is no typo and interpret the question as lim t→0 (1/t - (1/t2)t), then we can simplify further to lim t→0 (1/t - 1/t) which simplifies to lim t→0 0, since the two terms cancel each other out. Therefore, the limit as t approaches 0 of this expression is 0.