Answer:
As x approaches 0, f(x)=2
Step-by-step explanation:
First plug in f(x) and f(0) into the limit.
[tex]\lim_{x \to 0\0} 2x^2+1-(2(0^2)+1)/x^2\\\\[/tex], simplify things a bit
[tex]\lim_{x \to \ 0} 2x^2/x^2[/tex], divide by x^2
[tex]\lim_{x \to \ 0} 2/1=2[/tex], as x approaches 0, f(x)=2
