Define a function g : [0, 1) - Rby tan(tx) dx g (1) := /2 for...

 

Transcribed Image Text:

Define a function g : [0, 1) - Rby tan(tx) dx g (1) := /2 for all 1 E [0, 1). (i) Show that g is continuous on [0, 1). (ii) Show that g is differentiable on [0, 1). Define a function g : [0, 1) - Rby tan(tx) dx g (1) := /2 for all 1 E [0, 1). (i) Show that g is continuous on [0, 1). (ii) Show that g is differentiable on [0, 1).