Solved example of Operations with infinity

When multiplying exponents with same base we can add the exponents

When multiplying exponents with same base you can add the exponents

The power of a product is equal to the product of it's factors raised to the same power

Adding $\sqrt{2}\sqrt{x}$ and $\sqrt{x}$

Applying the power of a power property

Adding $\sqrt[3]{33}\sqrt{x}$ and $\sqrt{x}$

Simplifying the fraction by $x$

Evaluating the limit when $x$ tends to $\infty$

Simplifying

Infinity to the power of any negative number is equal to $0$