Question

a) 1
c) 1/e
b) e
d)0
Can anyone help me out for this​

Answer 1

Answer:

(a) 1

Step-by-step explanation:

log x + log (x+1)/x

= log [ x (x+1)/x ]

= log (x+1)

now...

LHS = Lt log (x+1) / Lt x as x → 0

= log (1+0)/0 = 0/0

hence use L-hospital rule

then.....

LHS = Lt 1/(x+1) / Lt 1 = 1/(x+1) as x → 0

= 1 / ( 0+1 ) = 1/1 = 1

hence option (a) is correct