Consider f(x)=x2sin(1x2)f(x) = x^2 \sin(\frac{1}{x^2})f(x)=x2sin(x21) for x≠0x \neq 0x=0 and f(0)=0f(0) = 0f(0)=0. Which statements are true?
f(x)f(x)f(x) is continuous at x=0x=0x=0
The Squeeze Theorem applies
f(x)f(x)f(x) has an essential discontinuity at x=0x=0x=0
limx→0f(x)\lim_{x \to 0} f(x)limx→0f(x) does not exist