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onsider the function f(x)={x2+34x+2839x+147ifx<−17ifx≥−17𝑓(𝑥)={𝑥2+34𝑥+283if𝑥<−179𝑥+147if𝑥≥−17.Step 2 of 3 :  Find limx→−17+f(x)lim𝑥→−17+⁡𝑓(𝑥).

Question

onsider the function f(x)={x2+34x+2839x+147ifx<−17ifx≥−17𝑓(𝑥)={𝑥2+34𝑥+283if𝑥<−179𝑥+147if𝑥≥−17.Step 2 of 3 :  Find limx→−17+f(x)lim𝑥→−17+⁡𝑓(𝑥).

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Solution

To find the limit of the function as x approaches -17 from the right (denoted as lim(x→-17+) we use the function definition for x≥-17.

That is f(x) = 9x + 147.

Substitute x = -17 into the function:

f(-17) = 9(-17) + 147 = -153 + 147 = -6.

So, lim(x→-17+)f(x) = -6.

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