find lim y. and lim y

Question

x->infinity. x-> negative infinity

1.) y= (x + sinx)/x

2.) y= x/ (1+ 2^x)

Answer 1

1) y= x/x + sinx/x=1+sinx /x

2) 2^x>>x

for instance, x=5
2^x=32,>5
2^56=7.2E15>>56

Lim x>>inf= x/2^x >0
lim x>>-inf= x/1= -inf

Answer 2

thank you :)