#lim_(x->oo) ln(x)/x^(1/100)=# ? Calculus Introduction to Integration Definite and indefinite integrals 1 Answer Cesareo R. Mar 4, 2017 #0# Explanation: #lim_(x->oo) ln(x)/x^(1/100)=lim_(x->oo)e^(ln(x))/(e^(x^(1/100))) = lim_(x->oo)x/e^(x^(1/100)) = 0# because #e^(x^alpha) # with #alpha > 0# grows and outperforms any polynomial. Answer link Related questions What is the difference between definite and indefinite integrals? What is the integral of #ln(7x)#? Is f(x)=x^3 the only possible antiderivative of f(x)=3x^2? If not, why not? How do you find the integral of #x^2-6x+5# from the interval [0,3]? What is a double integral? What is an iterated integral? How do you evaluate the integral #1/(sqrt(49-x^2))# from 0 to #7sqrt(3/2)#? How do you integrate #f(x)=intsin(e^t)dt# between 4 to #x^2#? How do you determine the indefinite integrals? How do you integrate #x^2sqrt(x^(4)+5)#? See all questions in Definite and indefinite integrals Impact of this question 2220 views around the world You can reuse this answer Creative Commons License