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Every one is happy by solving a quadratic or linear equation guys?
This is an JEE level question
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Atleast help me once yr!
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LuckyYadav2578:
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Answered by
8
Good Night!
lim Tan³x - 3Tan x
x->π/3 --------------------
Cos ( x + π/6 )
put x = π/3 We get 0/0 Now, we use L'HOSPITALS RULE.
lim 3 × Tan² x × Sec² x - 3 sec² x
x->π/3 ------------------------------------
- Sin ( x + π/6 )
Becoz Differentiation of Tan x is Sec² x
lim 3Sec² x { Tan² x - 1 }
x->π/3 ----------------------
- Sin ( x + π/6 )
Now, put x = π/3 we have
= 3 × ( 2 )² { (√3)² - 1 }
-----------------------
- Sin ( π/2 )
= -12 { 3 -1 }
= - 24
Answered by
3
♣️ Welcome to the concept of limits ♣️
✨it is( 0/0) form
- you can solve it easily by l hospital's rule .
- or by evaluating cos (A+B)
- but l hospital's rule is easy in this question
- in applying l hospital's rule in question chain rule us also used ..
⏩yr answer is ( -24 )
⏩ i hope it help you ❤️
otherwise report it ..
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