We have to evaluate: lim x->0 [ tan x/sin x]
lim x->0 [ tan x/sin x]
=>lim x->0 [ (sin x/cos x)/sin x]
=>lim x->0 [ sin x/(cos x*sin x)]
=>lim x->0 [ 1/(cos x)]
substitute x = 0
=> 1/cos 0
The required limit is 1.
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