87.6k views
2 votes
Please help me will mark brainliset ​

Please help me will mark brainliset ​-example-1
User Tmdesigned
by
7.8k points

1 Answer

5 votes

The solution of the limits are


\lim_(x \to \infty) 2^x = \infty


\lim_(x \to \infty) 1^x = \infty

How to solve the function

For the function f(x) = 2ˣ, as x tends to infinity, the limit can be determined by observing the behavior of the exponential function.

In this case, as x becomes larger and larger, 2ˣ grows without bound. The function increases exponentially with no upper limit.

Therefore, the limit of 2ˣ as x approaches infinity is positive infinity.

Mathematically, we express this as:


\lim_(x \to \infty) 2^x = \infty

Similarly, when 2 is replaced by 1 similar behavior will be noticed so we have:
\lim_(x \to \infty) 1^x = \infty

User Malgca
by
8.5k points

Related questions

asked Jun 10, 2024 147k views
Medic asked Jun 10, 2024
by Medic
7.8k points
1 answer
3 votes
147k views
asked May 28, 2024 206k views
Nick Rubino asked May 28, 2024
by Nick Rubino
8.1k points
2 answers
0 votes
206k views
asked Sep 2, 2024 126k views
Koelkastfilosoof asked Sep 2, 2024
by Koelkastfilosoof
8.0k points
2 answers
0 votes
126k views