Evaluate limx→∞5x2−3x9+ex

Question

jlo2niT · Accepted Answer

Limit of a function is a value obtained when the variable in a function approaches to some other value. Limits are used when we test the continuity of the function.
A function is said to be continuous when the left hand side limit and the right hand limit are equal to each other and to the limit at the point.
Left hand limit means when the value is approached from the left hand side and right hand limit means that we approach it from right side by considering a value greater than the value given.
The given limit is

lim_{x \to \infty} \frac{5 x^{2} - 3 x}{9 + e^{x}}

Putting the value of x as

\infty

gives us an indeterminate form of

\frac{\infty}{\infty}

. Hence evaluating the limit using different method.
Evaluating using hospitals

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Evaluate \lim_{x\to\infty}\frac{5x^2-3x}{9+e^x}

Answered question

Answer & Explanation

New Questions in Calculus 1