Question: Does $\displaystyle lim_{x \to 0} \left(g(x)\right) $ exist, when $\displaystyle g ( x_1 , x_2 )^T = \frac{x_1 x_2}{ |{x_1}| + |{x_2}|} $ I have no clue. Please help.
Follow Math Help Forum on Facebook and Google+
Originally Posted by WWTL@WHL Question: Does $\displaystyle lim_{x \to 0} \left(g(x)\right) $ exist, when $\displaystyle g ( x_1 , x_2 )^T = \frac{x_1 x_2}{ |{x_1}| + |{x_2}|} $ I have no clue. Please help. You should try to find a simple upper bound for $\displaystyle |g(x_1,x_2)|$ which converges to 0 when $\displaystyle (x_1,x_2)\to 0$. For instance, a possibility is to use the fact that $\displaystyle |x_1|+|x_2|\geq |x_2|$. I let you try that.
...And done. Thank you.
View Tag Cloud