Question

Calculate limits x>-infinity
-2x^5-3x+1

Answer 1

Given:

The limit problem is:

`\lim_(x\to -\infty)(-2x^5-3x+1)`

To find:

The value of the given limit problem.

Solution:

We have,

`\lim_(x\to -\infty)(-2x^5-3x+1)`

In the function
`-2x^5-3x+1`, the degree of the polynomial is 5, which is an odd number and the leading coefficient is -2, which is a negative number.

So, the function approaches to positive infinity as x approaches to negative infinity.

`\lim_(x\to -\infty)(-2x^5-3x+1)=\infty`

Therefore,
`\lim_(x\to -\infty)(-2x^5-3x+1)=\infty`.