To find the limit of a function, you directly substitute the value that the independent variable (usually x) is approaching, and solve.If this is not possible, you can try some algebraic manipulation of the function, likefactoring out common terms,multiplying a fraction by a conjugate,using trig transformations,looking at the graph of the function for limits at infinity,or using L'Hôpital's rule for indeterminate forms, like 0/0.Once you simplify the limit using these methods, you can find the limit using direct substitution.