IDNLearn.com is your go-to platform for finding reliable answers quickly. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.

**WITH STEPS ASAP
1. If you know that limx→−1 f(x)=−3 and limx→0 g(x)=3, then evaluate the following limit:
limx→0 f(x−1)g(x)=
2. If you know that limx→4 f(x)=3 and limx→0 g(x)=−5, then evaluate the following limit:
limx→0 f(x+4)+g(x)=


Sagot :

Applying it's properties, the limits of the functions are given as follows:

1. 9.

2. -2.

What is a limit?

A limit is given by the value of function f(x) as x tends to a value. Algebraically, for continuous functions, we have that:

[tex]\lim_{x \rightarrow a} f(x) = f(a)[/tex].

Hence, applying the property above, for item 1, we have that:

limx→0 f(x−1)g(x) = f(0 - 1)g(0) = f(-1)g(0) = -3 x 3 = 9.

For item 2, we have that:

limx→0 f(x+4)+g(x) = limx→4 f(x) + limx→0 g(x) = 3 - 5 = -2.

More can be learned about limits at https://brainly.com/question/26270080

#SPJ1

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.