limx→a [f(x)+g(x)]=10 and limx→a f(x)=2. Then, limx→ag(x), if it exists, is

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Solution

The correct option is D 8
If the limits $lim x \to a f (x)$ and $lim x \to a g (x)$ exist, then $lim x \to a [f (x) + g (x)] = lim x \to a f (x) + lim x \to a g (x)$

$\Rightarrow$ 10 = 2+ $lim x \to a g (x)$

$\Rightarrow$ $lim x \to a g (x) = 8$

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If $lim x \to a [f (x) + g (x)] = 10$ and $lim x \to a f (x) = 2$ , then find the value of $lim x \to a g (x)$ , provided that $lim x \to a f (x)$ and $lim x \to a g (x)$ exists ___

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limx→a [f(x)+g(x)]=10 and limx→a f(x)=2. Then, limx→ag(x), if it exists, is

The correct option is D 8If the limits limx→af(x) and limx→ag(x) exist, then limx→a[f(x)+g(x)]=limx→af(x)+limx→ag(x) ⇒ 10 = 2+ limx→ag(x) ⇒ limx→ag(x)=8

The correct option is D 8
If the limits $lim x \to a f (x)$ and $lim x \to a g (x)$ exist, then $lim x \to a [f (x) + g (x)] = lim x \to a f (x) + lim x \to a g (x)$

$\Rightarrow$ 10 = 2+ $lim x \to a g (x)$

$\Rightarrow$ $lim x \to a g (x) = 8$