SOLUTION: Kindly help me solving it i tried my best but I couldn't
lim {{{(x^(5/2)-2^(5/4))/(sqrt (x)-2^(1/4))}}} is equal to
x➡{{{sqrt (2)}}}
a)1/10
b)10
c)20
d)n
Algebra.Com
Question 1044892: Kindly help me solving it i tried my best but I couldn't
lim is equal to
x➡
a)1/10
b)10
c)20
d)none of these
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Your expression/function of is
.
Looks complicated, but it can be simplified.
We need a change of variable, so we do not have to struggle with those fractional exponents.
If I rewrite your function with ,
and define a constant ,
looks as simple as , a rational function of ,
with the constant --> .
Now, if <---> ,
we know a way to transform that rational function into a polynomial:
for .
Now , and
NOTES:
1) Your instructor may favor rather than as the variable for a change of variable.
I chose because it should remind you of what you learned in algebra and/or "pre-calculus".
2) You may remember from algebra/pre-calculus that
, and
.
You should not be surprised to find out that
<---> .
Alternately, you may recognize
as the sum of the first five terms of a geometric sequence
with first term and common ratio ,
and that sum would be
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