if
lim x tends to a

x^3-a^3 the whole divided by x-a

=

lim x tends to 1

x^4 - 1 the whole divided by x-a

find all the possible values of a...

Question

if
lim x tends to a
x^3-a^3 the whole divided by x-a
=
lim x tends to 1
x^4 - 1 the whole divided by x-a
find all the possible values of a

Ajanta Trivedi · Accepted Answer

the given equation is:
limx→ax3-a3x-a=limx→1x4-1x-1
limx→1x4-1x-1=4*13=4
and limx→ax3-a3x-a=3a2
therefore
3a2=4⇒a2=43
a=±23

hope this helps you