Find the Following Limit $$\lim _ { t \rightarrow \infty } \left( \arctan t , \mathrm { e } ^ { - 7 t } , \frac { \ln 4 t } { t } \right)$$

question 138

Short Answer

Find the following limit.
$$\lim _ { t \rightarrow \infty } \left( \arctan t , \mathrm { e } ^ { - 7 t } , \frac { \ln 4 t } { t } \right)$$

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Definitions:

Paleozoic

An era in the geological timescale, occurring between 541 and 252 million years ago, known for significant developments in life, including the Cambrian explosion.

Geologic Timescale

A chronologic subdivision of geologic time depicting the sequence of geologic events, including those represented by fossils; ages of boundaries are assigned through numeric dating of key rock units.

Earth Materials

Substances that constitute the Earth, including rocks, minerals, soil, and water.

Density

A measure of how much mass is present per given volume of a substance.