Evaluating and Ranking Limits

Question

Consider the following limits:

A. $$\lim_{x	o 0} \frac{\ln(1+x)-x}{x^2}$$
B. $$\lim_{x	o 0} \frac{\sin(x)-x}{x^3}$$
C. $$\lim_{x	o 0} \frac{	an(x)-x}{x^3}$$
D. $$\lim_{x	o 0} \frac{e^x-1-x}{x^2}$$

Which option lists the limits in increasing order of their values?

Accepted Answer

lim (ln(1+x)-x)/x^2, lim (sin(x)-x)/x^3, lim (tan(x)-x)/x^3, lim (e^x-1-x)/x^2

Answer

lim (ln(1+x)-x)/x^2, lim (tan(x)-x)/x^3, lim (sin(x)-x)/x^3, lim (e^x-1-x)/x^2

Answer

lim (e^x-1-x)/x^2, lim (tan(x)-x)/x^3, lim (sin(x)-x)/x^3, lim (ln(1+x)-x)/x^2

Answer

lim (sin(x)-x)/x^3, lim (ln(1+x)-x)/x^2, lim (tan(x)-x)/x^3, lim (e^x-1-x)/x^2

Evaluating and Ranking Limits

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