Home > Calculus > Determining Limits Algebraically

How do you find the limit of # (4t – 2t)/(t) # as t approaches 0?

Answer 1

Scarlett Allison

#2#

The question can be written as

#lim_(trarr0)(4t-2t)/t#

Simplify the numerator.

#lim_(trarr0)(2t)/t#

Notice that the #t# terms will cancel.

#lim_(trarr0)2=2#

The function should approach #2#. We can check a graph:

graph{(4x-2x)/x [-5.11, 5.99, -1.88, 3.67]}

Notice that #t=0# is undefined.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Aurora Alvarado

To find the limit of (4t - 2t)/t as t approaches 0, we simplify the expression first. (4t - 2t)/t simplifies to 2t/t, which further simplifies to 2. Therefore, the limit of (4t - 2t)/t as t approaches 0 is 2.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.