Iff(x)={x+21,x<02x+43,x≥0 , then [(lim)x→0f(x)]= (where [.] denotes the greatest integer function)

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If{f{{({x})}}}={{x}+{{1}}{{2}},{x}<{0}{2}{x}+{{3}}{{4}},{x}{0}

Question

If $f (x) = {x + \frac{1}{2}, x < 02 x + \frac{3}{4}, x \geq 0$ , then $[(lim)_{x \to 0} f (x)] =$ (where [.] denotes the greatest integer function)

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Harper Discussed

f (x) = {x + \frac{1}{2}, x < 02 x + \frac{3}{4}, x \geq 0

, then

[(lim)_{x \to 0} f (x)] =

(where [.] denotes the greatest integer function)

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Question Text

f (x) = {x + \frac{1}{2}, x < 02 x + \frac{3}{4}, x \geq 0

, then

[(lim)_{x \to 0} f (x)] =

(where [.] denotes the greatest integer function)