Question

求大神看一下这个导数题

红线部分，重谢

Answer 1

(4)
看不清题目
(5)
lim(x->0) [√(1+sinx) -1] /(e^x -1)
=lim(x->0) [√(1+sinx) -1] /x
=lim(x->0) [(1+sinx) -1] /{ x . [√(1+sinx) +1] }
=lim(x->0) sinx /{ x . [√(1+sinx) +1] }
=lim(x->0) 1 /[√(1+sinx) +1]
=1/2
(6)
f(x)
=(1/x)sinπx ; x≠0
=a ; x=0
lim(x->0) (1/x)sinπx = lim(x->0) (1/x)(πx) = π
f(0) =π
=> a=π