Search 74,117 tutors
FIND TUTORS
Ask a question
0 0

Evaluate lim 1/x - log(1 +x)/x2

Tutors, please sign in to answer this question.

2 Answers

Use l'Hospital's Rule twice:
 
limx→0 1/x - ln(1+x)/x²
= lim (x - ln(1+x))/x²
= lim (1- 1/(x+1) )/2x
= lim (x/(2x+2x²))
= lim (1/(2+4x))
= 1/2

Woodbridge tutors