Reorder and .

Move .

Reorder and .

Divide the numerator and denominator by the highest power of in the denominator, which is .

Simplify each term.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

Simplify each term.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

Split the limit using the Limits Quotient Rule on the limit as approaches .

Split the limit using the Sum of Limits Rule on the limit as approaches .

Move the term outside of the limit because it is constant with respect to .

Since its numerator approaches a real number while its denominator is unbounded, the fraction approaches .

Move the term outside of the limit because it is constant with respect to .

Since its numerator approaches a real number while its denominator is unbounded, the fraction approaches .

Split the limit using the Sum of Limits Rule on the limit as approaches .

Move the term outside of the limit because it is constant with respect to .

Since its numerator approaches a real number while its denominator is unbounded, the fraction approaches .

Move the term outside of the limit because it is constant with respect to .

Evaluate the limit of which is constant as approaches .

Evaluate the limit of which is constant as approaches .

Simplify the numerator.

Multiply by .

Multiply by .

Add and .

Add and .

Simplify the denominator.

Multiply by .

Multiply by .

Add and .

Add and .

Move the negative in front of the fraction.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Evaluate limit as x approaches infinity of (10x^3-6x^2-5x)/(4-2x-7x^3)