Amplify AC signal only
When Capacitor Reactive Impedance, Xc(f) rises to affect impedance ratio with R such that they are equal, you can measure many responses;


the voltage amplitude divider ratio (gain) reduces times
\$\dfrac{1}{\sqrt(1+1)} = 0.707 = -3~dB\$     
the current phase shift changes by 45 deg, (=trig. angle with equal sides of
impedance)  which as already started  to shift with 0.1uF  that
raises the impedance of Xc(f) to 26.5 kohm     
the -3dB breakpoint is \$ω_1=1/(R_1C_1)=2\pi f\$    
you can visualize all of this with a log impedance RLC nomograph and measure the impedance ratio of any XL(f) or C(f) vs V as the division ratio becomes a difference on a log scale. like 1000 is a difference of 3 decades
R+ C Series Impedance = \$Zc(f)=R+jXc(f)\$


Also with this you can "ballpark" estimate corner frequencies and LC resonant circuits and Q gain factors for LC intersections with R differences (Ratios). 
e.g. L//C//R is high impedance
so $$Q_p=R/X_L(f)=R/X_C(f)$$ 
at LC value intersection (=resonant f)
then series resonant f (L+C+R)  $$Q_s=\frac{X_L(f)}{R}=\frac{X_C(f)}{R}$$  (using absolute values or ignoring phase due to j


Here is one  example of the RLC Impedance nomograph.