Limit x→π/4 sin x + cos x/ tan x

Limit x→π/4 sin x + cos x/ tan x

≡lim x–> pi/4 sin x + cos x/tan x
≡sin (pi/4) + cos (pi/4)/tan (pi/4)
≡sin 45° + cos 45°/tan 45°
≡½√2 +( ½√2)/1
≡2/2√2
≡√2

 

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