Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

Which of the following is not true

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

log (1+x)0

b

x1+x0

c

ex>1+x for x>0

d

ex<1-x for x>0

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

loge(1+x)-x=loge(1+x)-logeex=loge 1+xex= ln 1+x1+x+x22!+x33!+...<0, as 1+x<1+x+x22!+...+ ∴loge1+x0 x1+x-log 1+x=1-11+x-log 1+x =1-11+x+log 1+x<0, for n>0 ∴ x1+x0, for x>0 ∴ex>1+x, for x>0; ∴(c) is true ex-1-x=1+x+x22!+...-1+x =2x+x22!+x33!+...>0, for x>0 ∴ex>1-x, for x>0 Thus, ex<1-x, for x>0 is not true.
Watch 3-min video & get full concept clarity

courses

No courses found

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon