find the limit (if it exists) lim θ → 0 sec ⁡ θ − 1 / θ sec ⁡ 0

Question

find the limit (if it exists)      lim          θ      →      0        sec  ⁡  θ  −  1      /    θ  sec  ⁡  0

ambivalentnoe1 · Accepted Answer

Using L&#039;Hopital:      lim          θ      −      0                  sec      ⁡      θ      −      1              θ      sec      ⁡      θ        ⇒      lim          θ      →      0                  sec      ⁡      θ      tan      ⁡      θ              sec      ⁡      θ      +      θ      sec      ⁡      θ      tan      ⁡      θ        =      lim          θ      →      0                  tan      ⁡      θ              1      +      θ      tan      ⁡      θ        =      0    1    =  0

find the limit (if it exists) lim_(theta rightarrow 0)(sec theta-1)/(theta sec 0)

Answered question

Answer & Explanation

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