Question 14: Gradient descent is said to converge to the minimum p^ =…

Consider the task of minimizing the function
. Let
be some arbitrary point in the plane other than the origin.
Based on the above data, answer the given subquestions.

Gradient descent is said to converge to the minimum $p^* = (x^*, y^*)$, if the point $p_t = (x_t, y_t)$ gets increasingly closer to $p^*$ as $t$ increases, that is, $\|p^* - p_t\|$ approaches zero as $t$ approaches infinity. Select all values of $\eta$ for which gradient descent converges to the minimum in this problem.