Determine the points of intersection of the given functions. y = –x2 + 3x + 20 y = –2x + 15 Describe the features of the graphin
2 answers:
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Answer:
a) The limit doesnt exist.
b) The limit exists and its value is 1/10
Step-by-step explanation:
a) We take the highest power (x⁴) as common factor in both the numerator and the denominator.
The limit of the numerator is 1 (when x goes to infinity) and the limit on the second part is 0. Hence the limit doesnt exist (it goes to infinity).
b) Note that if we multiply √x - 5 by its conjugate of , which is √x + 5, we obtain x - 25, thus
Hence, the limit exists and its value is 1/10.