Examples of Limits of Polynomials (with Explanation) Video Lecture | Applied Mathematics for Class 11 - Commerce

friends this video limits and
derivatives part 7 is brought you by
exam fear calm no more fear from exam
before watching this video please make
sure that you have watched part 1 part 6
now we understand limits of academic
function its suppose FX going to do a 1
a naught plus a 1 plus a 2 X square plus
as a dot dot dot a and except this is
less a bowler or in a wave function now
for this function I have to find limit
example that is limit of FX at X is
equal to 8 so this will be nothing but
limit of X is going to a or this value
that is a naught plus a 1 X plus a 2 X
square not dot dot a and X all right so
now in this case what we do will replace
X with a or will take individual limit
why because we know that limit of FX
plus GX or let's suppose extends a is
you can do a limit of FX when X tends to
a plus limit of GX here extends this we
know correct so we can say that this is
nothing but limit X tends to a of a
naught plus limit X tends to a 4 a 1 X
plus limit X tends to a 4 a 2 X fair dot
dot dot plus limit X tends to a 4 a to
the power n extra power and this value
is nothing but this is even does there
is no X component this will become this
other it is a not this a not this will
become even a correct
even this will become 8 a 2 a square
replace X with a nod on this will come
en into the con and correct and this is
nothing but F in this function if you
put X go to e you get this power so what
we have seen done for f of X limit
extension a is nothing but f of a what
we have done here we have found this
limit and we know that limit of FX plus
GX to the limit of FX plus limit of GX
and then we have got this one if you
take an example of limits of polynomial
function we have to find the limit for x
squared minus X plus C where X is equal
to 1 so we have we know that this value
should be equal to F of 1 we have seen
that limit of X to the power X tends 1
of f of X then X the final function this
is nothing but f of 1 and this value
will be 1 Q minus 1 square plus and that
is equal to and that is our answer
variable f of X limit X tends to 1 is
nothing but f of 1 and the value is 3 we
will take up example here we have to
find this value of limit for X is equal
to minus 1 so this will nothing we but f
of minus 1 for it because limit of FX if
FX is going to do 1 plus X plus x
squared plus X cube plus plus plus a dot
dot dot actually X to the power 11 if
this guy is equal to FX then limit of X
tends to 1 or FX is nothing but f of so
this is minus 1 is nothing but f of
minus 1 so we have to find our log by 4
minus that there is nothing but 1 plus
minus 1 this is minus 1 and sorry plus
minus 1 square plus minus 1 Q bond or
not plus minus 1 to the power
eleven so this and this cancel to wintry
cancer simile all this till 10 will be
canceled and what we'll get is minus one
all will get zero actually because 1 & 2
is cancels this is minus 1 square this
is not invincible this is minus 1 minus
mr. carder so 1 and this is the bar at 0
0 and 1 cancel zero in one cancel to
entry cancel 4 5 cancels 6 7 cancel 8 9
cancel 1011 castle that is power and
billing it's cancelled so this will
become 0 minus 1 to the power 0 and 1
cancel minus 1 to the power 2 n 3 cancer
similarly minus 1 to the power 4 and 5
I'll cancel six seven cancel eight nine
cancel because this will become 1 and
minus 1 this will become again 1 minus 1
similarly everything in cancel and you
get zero at the cancer thank you visit
exam viacom to watch free educational
videos try it free on my debts get the
best qualities to a demetria's study
from the best tutors and mentors and
much more
thanks again