Determine the one-sided limits numerically or graphically. If infinite, state whether the one-sided limits are ∞ or −∞, and describe the corresponding vertical asymptote. limx→−2±4x2+7x3+8

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Determine the one-sided limits numerically or graphically. If infinite, state whether the one-sided limits are ∞ or −∞, and describe the corresponding vertical asymptote.  limx→−2±4x2+7x3+8

bahaistag · Accepted Answer

Given function is:  f(x)=4x2+7x3+8  limx→−2+(4x2+7x3+8)=limx→−2+(4x2+7)limx→−2+(x3+8)  Put, x=-2  =4(−2)2+7(−2)3+8  =4×4+7−8+8  =230  =∞  and  limx→−2−(4x2+7x3+8)=limx→−2−(4x2+7)limx→−2−(x3+8)  Put, x=-2  =4(−2)2+7(−2)3+8  =4×4+7−8+8  =230  =−∞  ∴x=−2 is vertical asymptote.

Determine the one-sided limits numerically or graphically. If infinite, state whether the one-sided limits are...

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