Here is the expression
In:= t = Sin[x]/x
If you replace x by 0, the expression becomes 0/0, and you get an indeterminate result.
In:= t /. x->0
Power::infy: Infinite expression - encountered.
Infinity::indet: Indeterminate expression 0 ComplexInfinity encountered.
If you find the numerical value of for close to , however, you get a result that is close to
In:= t /. x->0.01
This finds the limit of as approaches . The result is indeed
In:= Limit[t, x->0]
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