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:

State Of Tension

A psychological or physical condition resulting from the presence of conflicting or unmet needs or desires.

Set Point

A theory suggesting that the body regulates its weight and energy balance around a genetically predetermined 'set point.'

Habituate

The process of becoming accustomed to a stimulus or environment, leading to a decrease in response over time.

Predictable Diets

Dietary patterns that are consistent and can be anticipated, often used in nutritional studies to assess the impact of specific food intakes on health.