Question

Find the following limit. Is the function continuous at the point being​ approached?

ModifyingBelow lim With x right arrow pi divided by 4limx→π/4StartRoot cosecant squared x plus 2 tangent x EndRootcsc2^(x)+2tanx

Choose the correct answer below and fill in the answer box within your choice.

​(Simplify your​ answer.)

A.

ModifyingBelow lim With x right arrow pi divided by 4limx→π/4StartRoot cosecant squared x plus 2 tangent x EndRootcsc^2(x)+2tanx=nothing​,

and the function is not continuous at

xequals=StartFraction pi Over 4 EndFractionπ4.

B.

ModifyingBelow lim With x right arrow pi divided by 4limx→π/4StartRoot cosecant squared x plus 2 tangent x EndRootcsc^2 (x)+2tanx=nothing​,

and the function is continuous at

xequals=StartFraction pi Over 4 EndFractionπ/4.

C.The limit does not​ exist, so the function is not continuous at

xequals=StartFraction pi Over 4 EndFractionπ/4.

Answer 1