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

Q.

If f(x)=|x+2|tan −1⁡(x+2), x≠−22,          x=-2then f(x) is

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

Continuous at x=−2

b

not continuous at x=−2

c

Differentiable at x=−2

d

continuous but not differentiable at x=−2

answer is B.

(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

limx→−2−f(x)=limx→−2−x+2tan−1x+2=limx→−2−−x+2tan−1x+2=−1    ∵limx→0−tan−1xx=1limx→−2+f(x)=limx→−2+x+2tan−1x+2=limx→−2+x+2tan−1x+2=1∴limx→−2f(x) does not exist.
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