Let f(x)={1+a2x,0≤x<1andax,1≤x<2 If x→1limf(x) exists ,then a is (a)\displaystyle{1} (b) −1 (c) 2 (d) −2

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Let {f{{({x})}}}={{1}+{{{2}{x}}}{{a}},{0}{x}<{1}{{and}}{a}{x},

Question

Let $f (x) = {1 + \frac{2 x}{a}, 0 \leq x < 1 and a x, 1 \leq x < 2$ If $x \to 1 lim f (x)$ exists ,then $a$ is (a)\displaystyle{1} (b) $- 1$ (c) $2$ (d) $- 2$

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Chloe Discussed

Let

f (x) = {1 + \frac{2 x}{a}, 0 \leq x < 1 and a x, 1 \leq x < 2

x \to 1 lim f (x)

exists ,then

a

is (a)\displaystyle{1} (b)

- 1

(c)

2

(d)

- 2

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Question Text

Let

f (x) = {1 + \frac{2 x}{a}, 0 \leq x < 1 and a x, 1 \leq x < 2

x \to 1 lim f (x)

exists ,then

a

is (a)\displaystyle{1} (b)

- 1

(c)

2

(d)

- 2