Calculate this limit :
Follow Math Help Forum on Facebook and Google+
Originally Posted by dhiab Calculate this limit : There are numerous possible approaches including the use of l'Hopital's rule and power series. Please be clear on what approaches are NOT allowed.
sec x - tan x = (1/cos x) - (sin x)/(cos x) = (1 - sin x)/(cos x) = (1 - sin x)/(cos x), rationalize the numerator by its conjugate, (1 + sin x). = (1 - sin^2 x)/[(cos x)(1 + sin x], = (1 - sin^2 x)/[(cos x)(1 + sin x)], = (cos^2 x)/[(cos x)(1 + sin x)], = [cos x cos x]/[cos x (1 + sin x)], = ?
Hello, dhiab! Calculate this limit: . Multiply by . . Then: .
View Tag Cloud