Pregunta
Question 19 (5 points) saved Evaluate \( \lim _{x \rightarrow \infty} e^{x} \). If the corresponding limit is infinity, then insert INF in the blank. If the corresponding limit is negative infinity, then insert -INF in the blank. If the corresponding limit does not exist, then insert DNE in the blank. Otherwise, write the number as an integer or a reduced fraction.
Ask by Ross Rogers. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
The limit is INF.
Solución
The limit you're evaluating is:
\[
\lim_{x \rightarrow \infty} e^{x}
\]
As \( x \) approaches infinity, the exponential function \( e^{x} \) grows without bound. Therefore:
\[
\lim_{x \rightarrow \infty} e^{x} = \infty
\]
According to the instructions provided:
- If the limit is infinity, insert **INF**.
**Answer:** INF
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
error msg
Explicar 
Simplifique esta solución Beyond the Answer
As \( x \) approaches infinity, \( e^x \) grows without bound, which means it increases exponentially. Thus, the limit evaluates to infinity. Therefore, you would insert INF in the blank.
preguntas relacionadas
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
