Take Engineering Diploma Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Let's solve a problem on limits
Find limit: x→0 (1 - cos2x ) /(x²)
On direct substitution we get 1 - 1/0 = 0/0 which is in indeterminate form
Let's substitute (1 - cos 2x ) = 2 sin² x
= limit x→0 (2 sin² x )/( x² )
= limit x→0 [ 2 ( sin x / x )² ]
= 2 [ limit x→0 (sin x / x) • limit x→0 ( sin x / x ). { limit x→0 (sin x / x) = 1}
= 2 [ 1 • 1 ] = 2
∴ limit x→0 ( 1 - cos 2x ) / x² = 2.
Find Engineering Diploma Tuition near you
Learn from Best Tutors on UrbanPro.
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near you32 Answers
8 Answers
The best tutors for Engineering Diploma Tuition Classes are on UrbanPro
The best Tutors for Engineering Diploma Tuition Classes are on UrbanPro
0
