Find the value of ′a′for which the function fdefined as f(x)={a2sinπ (x+1),x3tanx−sinx, x≤x>0is continuous at x=0

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Find the value of '{a}'for which the function {f}defined as {f

Question

Find the value of $^{'} a^{'}$ for which the function $f$ defined as $f (x) = {a \frac{sin π}{2} (x + 1), \frac{tan x - sin x}{x ^{3}}, x \leq x > 0$ is continuous at $x = 0$

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Noah Discussed

Find the value of

^{'} a^{'}

for which the function

f

defined as

f (x) = {a \frac{sin π}{2} (x + 1), \frac{tan x - sin x}{x ^{3}}, x \leq x > 0

is continuous at

x = 0

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Question Text

Find the value of

^{'} a^{'}

for which the function

f

defined as

f (x) = {a \frac{sin π}{2} (x + 1), \frac{tan x - sin x}{x ^{3}}, x \leq x > 0

is continuous at

x = 0