The answer can't be , as this is the same as:Originally Posted by bobby77
which is , as L'Hopitals rule will verify (and numerical
experiment confirm).
RonL
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
[QUOTE=bobby77]
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
First the ideal gas equation is:
where is the number of moles, and is the universal gas
constant, and and are the Pressure Volume
and Temprature respectivly.
Now:
So:
Which is answer (c)
RonL