Question

[.] Greater integer function

lim x tends to 0 cot^-1[cosx]

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Answer 1

Answer:

lim  

x→π/2

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(π−2x)  

3

 

cotx−cosx

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=lim  

x→π/2

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(π−2x)  

3

 

cotx(1−sinx)

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=lim  

x→π/2

​  

 

(π−2x)  

3

 

tan((π/2)−x)[1−cos((π/2)−x)]

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lim  

x→π/2

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2((π/2)−x).16((π/4)−(x/2))  

2

 

tan((π/2)−x)[2sin  

2

((π/4)−(x/2))]

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=  

32

2

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=  

16

1

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Answer 2

Answer:

$\pi \2$

this your answer