Question

$if \: \: \: lim \times \: \: \frac{x {}^{n} }{e {}^{x} } = \alpha \\ \: \: \: \: \: \: x - > \infty \\ \\ find \: \alpha .$
​

Answer 1

Answer:

Step-by-step explanation:

In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value.[1] Limits are essential to calculus (and mathematical analysis in general) and are used to define continuity, derivatives, and integrals.

The concept of a limit of a sequence is further generalized to the concept of a limit of a topological net, and is closely related to limit and direct limit in category theory.

In formulas, a limit of a function is usually written as

and is read as "the limit of f of x as x approaches c equals L". The fact that a function f approaches the limit L as x approaches c is sometimes denoted by a right arrow (→), as in