10. Let ƒ(2) = { (24/3/5/3 + ix³/34/3)/(x² + y²), if z ‡ 0; 0 if z = 0 Show that the Cauchy-Riemann equations hold at z = 0 but f is not differentiable at z = 0. Hint: consider the limit with Az = (1 + i)h, h→0.

Find lim r(t) when r(t) ( 2 tan-t, e 2 tan¬lt, e-2t 5 Int 1. limit (2т, — 2, 0) 2. limit = ( 2π, 0, 5 ) 3. limit (т, —2, 0) 4. limit = (0, 0, 5) 5. limit = (0, –2, 5) 6. limit = (п, 0, 0)

estimate the following limits, analytically

3. Consider the function f(x) : (0, ∞) → R where f(x) = =. (1) Show by definition that f is continuous at every > 0. (2) Show that f does not have a right limit at 0.