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Evaluate the Limit limit as x approaches 0 of 100/(50x+1)

Problem

(lim_x→0)(100/(50*x+1))

Solution

  1. Identify the type of limit by checking if the function is continuous at the target value x=0

  2. Substitute the value x=0 directly into the expression, as the denominator 50(0) + 1 = 1$ is non-zero.

  3. Simplify the resulting numerical expression to find the limit value.

Final Answer

(lim_x→0)(100/(50*x+1))=100


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