Find the Numbers at Which F Is Continuous $$f ( x ) = 4 \tan x$$

question 77

Multiple Choice

Find the numbers at which f is continuous. At which numbers is f discontinuous?
- $$f ( x ) = 4 \tan x$$

• A) continuous for all real numbers except \(x = 0\)
• B) continuous for all real numbers except \(x = \frac { k \pi } { 2 }\) where \(\mathrm { k }\) is an odd integer
• C) continuous for all real numbers except \(x = \frac { k \pi } { 4 }\) where \(\mathrm { k }\) is an odd integer
• D) continuous for all real numbers

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Definitions:

IUPAC Name

The systematic naming of chemical substances based on the rules established by the International Union of Pure and Applied Chemistry (IUPAC).

Compound

A compound formed by chemically joining atoms from more than one element.

2,3-dimethyl-2-butanamine

A branched aliphatic amine with a chemical formula C6H15N, where two methyl groups and an amine group are attached to a butane backbone.

Structure

The arrangement or organization of something, especially as it pertains to the arrangement of atoms in chemical compounds or the assembly of components in physical objects.