lim sec 2 x 2 tan x 1 Selected Sep 12 2020 by Shyam01 Best answer 1 1 2 Hence Option D is the correct answer Prev Question Next Question limx 4 sec2 x 2 tan x 1 is A 3 B 1 C 0 D 2
Limit Calculator Step 1 Enter the limit you want to find into the editor or submit the example problem The Limit Calculator supports find a limit as x approaches any number including Limit sin x x as x 0 limit 1 1 n n as n infinity lim x h 5 x 5 h as h 0 lim x 2 2x 3 x 2 2x 3 as x 3 lim x x as x 0 limit tan t as t pi 2 from the
lim sec 2 x 2 tan x 1
lim sec 2 x 2 tan x 1
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Evaluate The Limit Of Sec X Tan X As X Approaches Pi 2 Using L
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Verifying A Trigonometric Identity tan 2 x 1 sec x Sec x YouTube
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Step 1 Apply the limit x 2 to the above function Put the limit value in place of x lim x to 2 frac left x 2 2 right left x 1 right frac left 2 2 2 right left 2 L 0 1 3 L 0 1 0 lim x 0 sec2 x tan x 0 Answer link lim xto0 sec 2 x tan x 0 We know that color red 1 lim xtoa f x g x lim xtoa f
lim x tan 1 x frac 2 Similarly since lim x 2 tanx it follows that lim x tan 1 x frac 2 As a result y frac 2 Since f x 4x 3 for all x in 2 replace f x in the limit with 4x 3 and apply the limit laws lim x 2 f x lim x 2 4x 3 5 b Since f x x 3 2
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Lim d dx D x Thus tan tan 1x tan 2 cot 1x Now we know that 0 cot 1x so 2 2 cot 1x 2 i e 2 cot 1x is in the restricted subset on which the tangent function is one to one Hence
5 Answers Sorted by 5 Clarification lim x 2 1 secx tanx 1 0 lim x 2 1 secx tanx 1 0 lim x 2 1 secx tanx 1 0 In other words the Narad T Jul 12 2017 See the proof below Explanation We need tanx sinx cosx sin2x cos2x 1 secx 1 cosx Therefore LH S tan2x 1 sin2x cos2x 1 sin2x
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lim sec 2 x 2 tan x 1 - lim x tan 1 x frac 2 Similarly since lim x 2 tanx it follows that lim x tan 1 x frac 2 As a result y frac 2