If a, b, c and d are positive,then lim_{x to | vedclass

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(A) Let $L = \lim_{x 	o \infty} \left(1 + \frac{1}{a+bx}ight)^{c+dx}$. This is in the form of $1^{\infty}$.Using the formula $\lim_{x 	o \infty} (

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$e^{d/b}$

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(A) Let $L = \lim_{x 	o \infty} \left(1 + \frac{1}{a+bx}ight)^{c+dx}$. This is in the form of $1^{\infty}$.Using the formula $\lim_{x 	o \infty} (1 + f(x))^{g(x)} = e^{\lim_{x 	o \infty} f(x)g(x)}$:$L = e^{\lim_{x 	o \infty} \left(\frac{1}{a+bx}ight) \cdot (c+dx)}$$L = e^{\lim_{x 	o \infty} \frac{c+dx}{a+bx}}$Divide the numerator and denominator by $x$:$L = e^{\lim_{x 	o \infty} \frac{c/x + d}{a/x + b}}$As $x 	o \infty$,$c/x 	o 0$ and $a/x 	o 0$:$L = e^{\frac{0+d}{0+b}} = e^{d/b}$

If $a, b, c$ and $d$ are positive,then $\lim_{x \to \infty} \left(1 + \frac{1}{a+bx}\right)^{c+dx}$ is equal to:

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