Estimate the limit.
picture below

Hence, the limit of the expression is:

0.1667 (i.e. option b is true)

Step-by-step explanation:

We are asked to estimate the limit of the expression:

We know that:

Hence, we could represent it as:

Since we cancel out the similar terms in the numerator as well as in the denominator.

Hence, the limit of the expression is:

0.1667

Choice b is the answer.

Step-by-step explanation:

We have given a function.

f(x) = x-3 / x²-9

We have to find the limit of given function at x.

Applying difference formula to denominator of given function.

x-3 / x²-9 = x-3 / (x-3)(x+3)

x-3 / x²-9 =  1 / x+3

Applying limit, we have

 =  

 = 1/3+3

 = 1/6

 = 0.1667 which is the answer.

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step-by-step explanation: