Suppose ${f}({x})= \begin{cases}a+b x, & x 1\end{cases}$ and if $\lim _\limits {x \rightarrow 1} f(x)=f(1)$ then the value of $a+b$ is

JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

Suppose

{f}({x})= \begin{cases}a+b x, & x < 1 \\ 4, & x=1 \\ b-a x, & x>1\end{cases}

and if

\lim \limits_{{x \rightarrow 1}} f(x)=f(1)

then the value of

a+b

View answer and explanation

Correct option: A

Option A is correct because the limit condition implies that a + b = 4.

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