SOLUTION: Kindly help me solving it i tried my best but I couldn't lim (10^x-5^x-2^x+1)/x^2 is equal to x➡0

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Question 1044766: Kindly help me solving it i tried my best but I couldn't
lim (10^x-5^x-2^x+1)/x^2 is equal to
x➡0
Found 2 solutions by robertb, ikleyn:
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!

=
= .
The last expression doesn't lead to an indeterminate form and so direct substitution of x = 0 gives...
.


Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.
Kindly help me solving it i tried my best but I couldn't
lim (10^x-5^x-2^x+1)/x^2 is equal to
x-->0
~~~~~~~~~~~~~~~~~~~~~ 

 =  = ..

Therefore,

lim   ( (10^x-5^x-2^x+1)/x^2)  is equal to  ln(5) * ln(2).
x➡0


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