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asintota de
f(x)=3e^(x)

asintota de $f(x)=3 e^{x}$

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Find derivatives using the quotient rule I

Full solution

Q. asintota de

f(x)=3 e^{x}

Identify function type: Identify the type of function. $f(x) = 3e^x$ is an exponential function.
Horizontal asymptote condition: For exponential functions $f(x) = ae^{bx}$ , the horizontal asymptote is $y = 0$ if b > 0 .
Determine horizontal asymptote: Since $f(x) = 3e^x$ has $b = 1$ which is greater than $0$ , the horizontal asymptote is $y = 0$ .

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