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2 years ago

Lim f(x) = 19, find the value of A and B, if the lim f(x) = Ax – 3B and lim f(x) = **+ B

Mathematics

1 answer:

podryga [215]2 years ago

6 0

Answer:

A = 4, B = 3

Step-by-step explanation:

In order for the limit to exist and have a value of 19, the left limit and the right limit must both have that value at x=7.

left limit = 19

right limit = 19

4A(7)/7 +B = 19

A(7) -3B = 19

Adding 3 times the first equation to the second gives ...

3(4A +B) +(7A -3B) = 3(19) +(19)

19A = 4(19) . . . . . simplify

A = 4 . . . . . . . . divide by 19

Substituting into the first equation gives ...

4(4) +B = 19

B = 3 . . . . . . . subtract 16

A is 4, B is 3.

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