JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

f(x)=\left\{\begin{array}{ll}3 x-1, & x \geq 1 \\ 2 x+3, & x < 1\end{array}, g(x)=\left\{\begin{array}{cc}3-x, & x < 2 \\ 2 x-3, & x \geq 2\end{array}\right.\right.

, then

\lim \limits_{{x \rightarrow 2}} f(g(x))=

View answer and explanation

Correct option: B

Option B (2) is correct because the limit of

f(g(x))

x

approaches 2 is 2, based on the piecewise definitions of

f(x)

and

g(x)

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