The expression is .
Graph the function :
Observe the graph:
\As tends to
from left hand side,
approaches to
.
As tends to
from right hand side,
approaches to
.
Since left hand side limit is equal to right hand side limit, the limit exists.
\.
Draw a table to find the value of the limit.
\![]() | \
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Observe the table:
\The value of at
is
.
The value of at
is
.
The value of at
is
.
The function is
Multiply and Divide by .
Apply product rule of limits.
\Apply special trigonometric limits .
.
.