Question

cosa trosax SINX - Sina
-​

Answer 1

Answer:

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Step-by-step explanation:

lim

x→a

x

−

a

sinx−sina

=lim

x→a

(

x

−

a

)(

x

+

a

)

(sinx−sina)(

x

+

a

)

=lim

x→a

x−a

(sinx−sina)(

x

+

a

)

=lim

x→a

2(

2

x−a

)

2cos(

2

x+a

)sin(

2

x−a

)

x

+

a

(sinx−siny=2cos(

2

x+y

)sin(

2

x−y

))

=

2

2cosa2

a

=2

a

cosa(lim

x→a

x

sinx

=1)

∴lim

x→a

x

−

a

sinx−sina

=2

a

cosa