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Mathematics, 11.06.2020 21:57 scholarlystudenttt28

Calculus: Fill in the blanks: If f and g are continuous functions with f(2) = 9 and limx→2[2f(x) + 3g(x)] = 6. Use the properties limits and
continuity to find g(2). Soln: Since we have an equation above,
working first on the left hand side: limx→2[2f(x) + 3g(x)] =
= (*)
Since f and g are both continuous and f(2) = 9. By definition,
limxβ†’2 f(x) = = and limxβ†’2 g(x) = (βˆ—βˆ—)
Now, continuing from line (βˆ—) above together with line (βˆ—βˆ—) , we have
β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”- = ————————————–= 6
β€”β€”β€”β€”β€”β€”β€” = 6
3g(2) = 6 βˆ’ =
g(2) =

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Calculus: Fill in the blanks: If f and g are continuous functions with f(2) = 9 and limx→2[2f(x) + 3...
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