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Hello . I have problems with two exercises .

1.[tex]\lim_{t \to 0 } \frac{2v_1-t^2v_2^2}{|t| \sqrt{v_1^2+v_2^2} }[/tex]

Here, I have to write when this limit will be exist.

2.[tex]\lim_{(h,k) \to (0,0) } \frac{2hk}{(|h|^a+|k|^a) \cdot \sqrt{h^2+k^2} }[/tex]

Here, I have to write for which [tex] a \in \mathbb{R}_+[/tex] this limit will equal to zero.

I don't have ideas how to do it.

1.[tex]\lim_{t \to 0 } \frac{2v_1-t^2v_2^2}{|t| \sqrt{v_1^2+v_2^2} }[/tex]

Here, I have to write when this limit will be exist.

2.[tex]\lim_{(h,k) \to (0,0) } \frac{2hk}{(|h|^a+|k|^a) \cdot \sqrt{h^2+k^2} }[/tex]

Here, I have to write for which [tex] a \in \mathbb{R}_+[/tex] this limit will equal to zero.

I don't have ideas how to do it.