Question

Question on Limits

Answer 1

\[\large \bf f(x)=\sin^{-1}(\frac{1+x^2}{2x})\]
where,
\[\large x \rightarrow 1^-\]

Answer 2

find the value of \[\large \bf f(1^-)\]?

Answer 3

@ganeshie8 @Kainui

Answer 4

.

Answer 5

What does it mean ?

Answer 6

@zepdrix

Answer 7

isn't the answer -pi/2 ?

Answer 8

he means \(+\pi/2\)

by simply plugging in x = 1 in f(x)

Answer 9

Options are :-
\[\large \bf A) \sin^{-1}(1^+)\]
\[\large \bf \ B) sin^{-1}(1^-)\]

Answer 10

@ganeshie8

Answer 11

@hartnn what do you think ?

Answer 12

\(\Large \dfrac{1+(1^-)^2}{2\times 1^-}\)

which one do you think is greater?
numerator or denominator?

Answer 13

numerator

Answer 14

you may take simple example of 0.9 :)

Answer 15

yes correct!

Answer 16

so, the fraction is >1
but very near to 1
which means --> \(1^+\)

Answer 17

okay !

Answer 18

thanks for you help :)

Answer 19

welcome ^_^