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

Q.

If Δ(x)=tan⁡xtan⁡(x+h)tan⁡(x+2h)tan⁡(x+2h)tan⁡xtan⁡(x+h)tan⁡(x+h)tan⁡(x+2h)tan⁡x, then the value of limh→0 Δ(π/3)3h2 is

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

144

b

81

c

64

d

36

answer is A.

(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

∆h2=tanxtan(x+h)-tanxhtan(x+2h)-tanxhtan(x+2h)tanx-tan(x+2h)htan(x+h)-tan(x+2h)htan(x+h)tan(x+2h)-tan(x+h)htanx-tan(x+h)h ⇒limh→0 Δh2=tan⁡xsec2⁡x2sec2⁡xtan⁡x−2sec2⁡x−sec2⁡xtan⁡xsec2⁡x−sec2⁡x                   =003sec2⁡x0−3sec2⁡x0tan⁡xsec2⁡x−sec2⁡x                 =9 tan⁡x sec4⁡x⇒ limh→0 Δ(π/3)3h2=144
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring