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Differential Calculus

Blazing goIITian

Joined:	1 Apr 2012
Post:	381

10 Aug 2012 13:05:18 IST

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242

Diff. calculus

Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Differential Calculus

Find the values of a and b so that f(x)={}

b ; x=-2 }

may be continous at x=-2

{

ANSWER= a=

how explain with steps

Comments (1)

Sagar Saxena

Blazing goIITian

Joined: 8 Oct 2008

Posts: 8064

10 Aug 2012 23:00:48 IST

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hello,

since function is continious at x=2

hence at x=2 l.h.l.=r.h.l=b

for r.h.l. lim_x--->-2 x⁴-16/x⁵+35 = 4x³/5x⁴=4/5x=-2/5 (applying L'obtal rule and differenciating)

hence sin x⁴-16/x⁵+35 =sin(-2/5)

so b=sin(-2/5)

now for l.h.l. clearly e^1/= infinity as x->-2 hence divide numenator and denomenator e^1/

and applying limit we get l.h.l.=-a

-a=b hence a=sin2/5

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