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

Question

Select the correct relationship between ϵ\epsilon and δ\delta to prove lim⁡x→0(5x2)=0{\displaystyle\lim_{x	o0}}\$$left(5x^2$$ight)=0 using the ε−δ\varepsilon-\delta definition of a limit.

Accepted Answer

δ=ϵ5\delta=\sqrt{\frac{\epsilon}{5}}

Answer

δ=ϵ25\delta=\frac{\$$epsilon^2$$}{5}

Answer

δ=ϵ\delta=\sqrt{\epsilon}

Answer

δ=ϵ5\delta=\frac{\epsilon}{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.

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.