select-the-correct-relationship-between-epsilon-and-to-prove-limx05x20displaysty

Question

Select the correct relationship between $ϵ$ and $δ$ to prove $\lim_{x \to 0} (5 x^{2}) = 0$ using the $ε - δ$ definition of a limit.

Accepted Answer

$δ = \sqrt{\frac{ϵ}{5}}$

Answer

$δ = \sqrt{\frac{ϵ}{5}}$

Answer

$δ = \sqrt{\frac{ϵ}{5}}$

Answer

$δ = \sqrt{\frac{ϵ}{5}}$

Select the correct relationship between ϵ\(\epsilon\) and δ\(\delta\) to prove limx→0(5x2)=0{\(\displaystyle\]\lim\)_{x\(\to\)0}}\(\left\)(5x^2\(\right\))=0 using the ε−δ\(\varepsilon\)-\(\delta\) definition of a limit.