#### Thank you for registering.

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

Click to Chat

1800-5470-145

+91 7353221155

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

# 1 – limit x tends to 0      sin(pi cos2x) / x22 –  L = limit x tends to 0    a – (a2-x2)1/2- x2                        4___________________              x4    a>0 , if L is finite , find the values of a and l....????plz provide detailed solution for the second question.....

Shubham Singh
199 Points
6 years ago
for first question
apply L’ Hopitol rule
second question is not clear

astha
11 Points
3 years ago
... lim (x→0) [ sin ( π cos² x ) ] / x²

= lim (x→0) { sin [ π ( 1 - sin² x ) ] } / x²

= lim (x→0) [ sin ( π - π sin² x ) ] / x²

= lim (x→0) [ sin ( π sin² x ) / x²

= lim (x→0) [ ( π sin² x ) / x² ] ....................... from (1)

= π • [ lim (x→0) ( (sin x) / x ) ]²

= π • [ 1 ]²

= π ........................................... Ans.