Find the limit of the function algebraically.

limit as x approaches zero of quantity x squared plus three divided by x to the fourth power.

The expression is represented by (x^2 + 3) / x^4. The limit of the function is simply determined by substituting the x component with zero. The substitution is 3/0. A number divided by zero is equal to a very large number, mathematically known as infinity. Answer is infinity or no limit.