20 Evaluate the following limit Use LHospitals Rule where po

20) Evaluate the following limit. Use L\'Hospital\'s Rule where possible. If limit results in an 20) indeterminate form where L\'Hospital\'s Rule cannot be applied directly, manipulate the of the limit that L\'Hospital\'s Rule can be applied directly. lim (tan (x) cos(x) x (TU/2)

lim_x-(/2)- (tanx)^cos(x)

apply L hospital

=> lim_x-(/2)- cosx(tanx)^(cosx -1) sec^2x

apply L hospital

=> lim_x-(/2)- (cosx -1) (tanx)^(cosx -2) sec^2x / -sinx

=> as long as tanx is present

$20) Evaluate the following limit. Use L\'Hospital\'s Rule where possible. If limit results in an 20) indeterminate form where L\'Hospital\'s Rule cannot be app$

20 Evaluate the following limit Use LHospitals Rule where po

Solution

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