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Without a calculator, write the equation of the line tangent to at .

Compute without a calculator

Write the tangent line in point-slope form:

Find the point by evaluating . Careful! Notice the denominator.

Though the denominator 'cancels out', there remains a hole in the graph at . Since there is no point, there is no line, and consequently no tangent line.

Step 2 would be to use to find the slope at . However, since the tangent line does not exist, there is no reason to find its slope!