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
Menu
Grade: 12th pass
        if limit x tends to a ,find the value of              (2-x/a)^tan(πx/2a)
one year ago

Answers : (1)

Snehal Jadhav
54 Points
							
The question is of the form 1infinity.
Such type of questions can be solved by using formula:
f(x)g(x) = e[f(x)-1]*g(x)
We, will evaluate e raised to the power:
(2 – (x/a) – 1)*tan(\pix/2a)
 
(1 – (x/a))*tan(\pix/2a)
 
((a – x)/a)*tan(\pix/2a)
Now, we will change the limits from x tends to a to (a+h) where, h tends to zero.
[(a – (a+h))/a]*tan(\pi(a+h)/2a)
 
[ – h/a]*[tan(\pi/2 + \pih/2a)
 
(-)h/a*(-)*(1/tan(\pih/2a))
 
h/a*(1/tan(\pih/2a))
The term tan(\pih/2a) tends to zero as h tends to zero.
So, tan(\pih/2a) equals to (\pih/2a).
Hence, the terms h and a cancel out.
2/h
So, the answer is:   e2/h
one year ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 51 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details