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AP DSC School Assistant Math Model Test 1

Section: Subject Specific

Question : 43 of 160

Marks: +1, -0

\underset{x→a}{lim}f(x)=L

\underset{x→a}{lim}g(x)=M

\underset{x→a}{lim}[f(x)+g(x)]

is equal to:

Solution:

Concept:

The limit of a sum of two functions is equal to the sum of their individual limits, provided both limits exist.

Explanation:

Given that

\lim_{x\to a} f(x) = L

and

\lim_{x\to a} g(x) = M

, we apply the limit addition property:

\lim_{x\to a} \big[ f(x) + g(x) \big] = \lim_{x\to a} f(x) + \lim_{x\to a} g(x) = L + M

Answer:

Option A:

L + M

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