Compute limx- 03x-2xx

3^x 2^xx=2^x((32)^0+x 1)x =2^x((32)^0+x (32)^0)x Now, #160; lim_x→ 02^x((32)^0+x (32)^0)x =lim_x→ 0 2^x lim_x→ 0 ((32)^0+x (32)^0)x =l ...

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Multinomial Expansion

Compute lim...

Question

Compute ${lim}_{x \to 0} \frac{3^{x} - 2^{x}}{x}$

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lim x \to 0 f (x)

lim x \to 1 f (x),

f (x) = {\begin{matrix} 2 x + 3, & x \leq 0 3 (x + 1), & x > 0 \end{matrix}

lim x \to 0 f (x)

lim x \to 1 f (x)

f (x) =

{\begin{matrix} 2 x + 3, x \leq 0 3 (x + 1), x > 0 \end{matrix}

{lim}_{x \to 0} \frac{3^{x} - 2^{x}}{4^{x} - 3^{x}}

f (x) = \{\begin{array}{l} 2 x + 3, & x \leq 0 \\ 3 (x + 1), & x > 0 \end{array} .

\lim_{x \to 0} f (x)

\lim_{x \to 1} f (x)

$l i m_{x \to 0} (\frac{3 x + | x |}{7 x - 5 | x |})$ =___

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