1>Lim (ln(ln(x))/ln(x)

x->inf

(a)-1 (b) 0 (c) 1 (d) inf

Answer:infinity

2>An ideal gas satisfies the equation PV = RT, where P is the pressure, V is the volume, R is a constant, T is the temperature, and n is the number of moles of the gas. State the rate of change of the temperature with respect to time in terms of P, V, R, and n.

(a) Vdp/dt +pDv/dt )/ndR/dt (b)0 (c) (vdp/dt +p DV/dt)/nR (d) none

Answer:0

3>An ideal gas satisfies the equation PV = RT, where P is the pressure, V is the volume, R is a constant, and T is the temperature. At a certain time, the temperature is maintained constant, the pressure P = 100 lb/in2 and is increasing at 4 lb/in2•sec. At what rate is the volume changing when it is 60 in3?

(a) -2.4 (b) 2.4 (c)0 (d) none

Answer:2.4

4>Lim sqrt(x+1)/ln(x+1)

x->0

(a) limit does not exist (b)0 (c)1 (d) 1/2

Answer: (d) 1/2

5>Lim 2x ln(x^2)

x->0

(a)inf (b) -1(c) 0 (d) -1/2

Answer: 0

6>Lim (1+5/x) ^x

x->inf

(a)5 (b)1 (c) e (d) e^5

Answer: 5