Series reactance of inductor and capacitor
Of course.

For example, at low frequencies, the series LC circuit looks like an open circuit, because the capacitor produces a high reactance at those frequencies.

And at high frequencies, the series LC circuit looks like an open circuit because the inductor produces a high reactance at those frequencies.

Whenever two elements are in series, their impedances add

$$Z_{\mathrm{series}}=Z_1 + Z_2$$

In the case of inductors and capacitors (i.e. when no real component is present) this becomes 

$$X_{\mathrm{series}}=X_1 + X_2$$

And there are many many cases in physics and engineering where if you have a sum with one element much larger than the other (for example \$X_1\gg X_2\$) then you can approximate with \$X_1+X_2\approx{}X_1\$.