Please answer for this "b" question :)

Let a be a real number. Consider the function 2 sin (42) 1-eax 21n(32 +1) -4 ifz 20 We want to choose a so that f (x ) is continuous ale = 0. (a) (1 point) List all the conditions that need to hold for any function f (z ) to be continuous at = = 0. (b) (2 points) Now evaluate these conditions for the function given above, justifying all your steps. Use correct mathematical notation and justify every "equals sign". You may use the abbreviations used in class