1f:["$","svg",null,{"className":"w-6 h-6","fill":"none","stroke":"currentColor","viewBox":"0 0 24 24","children":["$","path",null,{"strokeLinecap":"round","strokeLinejoin":"round","strokeWidth":2,"d":"M8.228 9c.549-1.165 2.03-2 3.772-2 2.21 0 4 1.343 4 3 0 1.4-1.278 2.575-3.006 2.907-.542.104-.994.54-.994 1.093m0 3h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"}]}] 20:["$","div",null,{"className":"flex-1","children":[["$","h1",null,{"className":"text-2xl font-bold text-gray-900 mb-4","children":["$","div",null,{"dangerouslySetInnerHTML":{"__html":"

Evaluate: lim_x→π/2 [(1 - sin x) / cos x]

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lim_x→π/2 [(1 - sin x) / cos x]

= lim_y→0 [(1 - sin(π/2 - y)) / cos(π/2 - y)] (taking π/2 - x = y)

= lim_y→0 [(1 - cosy) / siny]

= lim_y→0 [(2sin²(y/2)) / (2sin(y/2) cos(y/2))]

= lim_y→0 tan(y/2)

= 0

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Evaluate: limx→π/2 [(1 - sin x) / cos x]

Verified Answer

Evaluate: limx→π/2 [(1 - sin x) / cos x]

Verified Answer

Evaluate: lim_x→π/2 [(1 - sin x) / cos x]

Evaluate: lim_x→π/2 [(1 - sin x) / cos x]