To find: The value of the numbers of a and b so that .
The values of .
Obtain the value of the numbers of a and b.
Consider the function .
Rationalize the numerator,
Take the limit of the function as x approaches 0.
Here, the denominator approaches 0 as x approaches 0, so the limit exist only if the numerator of the function must be equal to zero as x approaches 0. That is,
Thus, the value of the number .
Substitute in equation (1),
The values of a and b satisfies the condition .
Thus, the value of the number a is 4.
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