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After applying L Hospital s Rule once we have lim 8 sec x 1 x0...

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Calculus

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After applying L Hospital s Rule once we have lim 8 sec x 1 x0 x sec x tan x needed and we will do so here applying the rule for a second time To do so we need to find additional derivatives The derivative of 8 sec x 1 with respect to x is The derivative of x sec x tan x with respect to x is So we still have an indeterminate limit of type o lo We recall that L Hospital s Rule can be applied repeatedly as

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