Evaluate the Limit limit as x approaches 0 of x/x

Problem

(lim_x→0)(x/x)

Solution

1. Identify the form of the limit by substituting x=0 into the expression.

2. Observe that the expression results in the indeterminate form 0/0

3. Simplify the fraction x/x for all values of x where x≠0

4. Reduce the expression to 1 since any non-zero number divided by itself is 1

5. Evaluate the limit of the constant 1 as x approaches 0

Final Answer

(lim_x→0)(x/x)=1

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