#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# do you agree that the limit of sin 8/8 is equal to 1?

9 years ago

sin x / x is equal to one only when x tends to zero. In your case x is equal to 8 which is not zero so it is not equal to one. Askiitians_Expert Yagyadutt
9 years ago

Hello alexie !

Well let me explain some concepts of limit in this case ..!

Lim x--> a  sin(x)/(x) = b

Now b can be any number depending on the variation in the 'a' ...

The most beautiful case of this type is ...! when a tends to zero !

i.e when  Lim x-->0  sin(x)/(x) = b

then b === 1

sin(8)/(8) is not equal to 1 because x-->8

sin(pi/2)/pi/2 is not equal to 1 ...because x-->pi/2

-------------

Sin(x-3)/(x-3)  becomes one ...when x-->3  ( because it also comes in the same form ..sin(0)/(0) )

So  Lim x-->3  sin(x-3)/(x-3) = Lim x-->0.5 sin(x-0.5)/(x-0.5)  = Lim x-->0 sin(x)/(x) = 1

# All have same meaning and same limit value .. !

Hope it is clear now

With regards

Yagya