If the right and left hand limits coincide, we call that common value as the limit of f(x) at x = a and denote it by

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Solution

The correct option is A

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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 the limit

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 the limit

exist

{lim}_{x \to a} f (x)

=

{lim}_{x \to a^{-}} f (x) = l a n d {lim}_{x \to a^{+}} f (x) = m

l \neq m .

⎧ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} 2 | x |, & x \leq - 1 2 x, & - 1 \leq x \leq 0 x + 1, & 0 < x \leq 1 2 & x > 1 \end{matrix}

f (x)

| x - 2 |

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