IIT JEE short tricks

Tell me please about the short tricks of do pas the join entrance exam of Indian institute of technology because of do participate in the joint entrance exam of this institute so ask y6ou about the short tricks of do pass it

[Pathak]

Here I am giving you short trick of Indian institute of technology with example as below:-

1. Find the value of
1/2!+1/4!+1/6!+....... (AIEEE 2004)

A. (e2-1) / 2 B. (e2-2) / e
C. (e2-1) / 2e D. (e-1)2 / 2e

If you thought this was unsolvable if you did not know the expansion of ex..... Think again! It is .. The first two terms are the only non negligible terms!

= 0.5 + 0.05 = 0.55

A .(e^2-1) / 2 > 1 easily
B .(e^2-2) / e > 1 again
C.(e^2-1) / 2e > 1 again!
D.(e-1)^2 / 2e was the only option with value less than 1!

If you want to get more short trick then see given below attachment:-