Use the Given Graph to Find the Indicated Quantities $\lim _ { x \rightarrow - 1 ^ { - } } f ( x )$

question 87

Essay

Use the given graph to find the indicated quantities:
(a) $\lim _ { x \rightarrow - 1 ^ { - } } f ( x )$
(b) $\lim _ { x \rightarrow - 1 ^ { + } } f ( x )$
(c) $\varliminf _ { x \rightarrow - 1 } f ( x )$
(d) $\lim _ { x \rightarrow 1 ^ { - } } f ( x )$
(e) $\lim _ { x \rightarrow 1 ^ { + } } f ( x )$
(f) $\lim _ { x \rightarrow 1 } f ( x )$
(g) $\lim _ { x \rightarrow 2 ^ { - } } f ( x )$
(h) $\lim _ { x \rightarrow 2 ^ { + } } f ( x )$ (i) $\lim _ { x \rightarrow 2 } f ( x )$
(j) f (-1)
(k) f (0)
(l) f (1)
(m) f (2)

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Definitions:

Oxygen

A chemical element with symbol O, essential for cellular respiration in aerobic organisms and a component of the Earth's atmosphere.

Surfactant

A substance that reduces the surface tension of a liquid, aiding in processes such as lung function and cleaning.

Alveoli

Tiny air sacs in the lungs where gas exchange takes place, oxygen enters the blood, and carbon dioxide is removed.

Bicarbonate Ions

The bicarbonate ion (HCO3-) plays a crucial role in maintaining the body's pH balance, particularly in the buffering of blood plasma.