## ihatemath33 3 years ago find an example of two distinct values a and b such that the limit of f(x) as x approaches a equals the limit of f(x) as x approaches b

1. across

Let $$f(x)=x^2$$. Then$\lim_{x\to-1}f(x)=\lim_{x\to1}f(x)=1.$

2. tcarroll010

Think of a trigonometric function where a 0 could be in the denominator. Trigonometry is a good place to look since many of the functions are periodic.