Question #1ed3f

1 Answer
A08
Jul 23, 2016

No

Explanation:

Given is the expression
#1/sin 0#

We know that #sin0=0#,
Therefore, the expression reduces to #1/0#
We also know that division by #0# is not defined.
Hence, we should say
#1/sin 0="undefined"#.

If a graph is drawn for #1/x# as shown below, there is a discontinuity at zero.

math.mit.edu
As for very small negative numbers, #1/x# approaches negative infinity, and for very small positive numbers, #1/x# approaches positive infinity.

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