Final answer:
One way to solve a multivariable limit that goes to infinity is using the Squeeze Theorem, which states that if two functions approach the same limit and a third function is between them, then the third function also approaches that limit. Another way is using Polar Coordinates, which involves converting the expression to polar coordinates and simplifying the limit.
Step-by-step explanation:
The first solution to solve a multivariable limit that goes to infinity is using the Squeeze Theorem. The Squeeze Theorem states that if two functions, g(x) and h(x), both approach the same limit L as x approaches a, and f(x) is squeezed between g(x) and h(x) for all x near a (except possibly at a), then f(x) also approaches L as x approaches a.
The second solution is using Polar Coordinates. Converting the given multivariable limit to polar coordinates can make it easier to solve. Using appropriate substitutions, you can rewrite the expression in terms of polar variables and then simplify the limit.