solve this question calculas limit
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Lim x->0 (1+x)^1/n - 1 / x
Here if we put x=0 then we'll get 0/0.
Which is an indeterminate form.
So we can apply La Hospitals rule.
Let's differentiate the numerator and denominator separately.
Lim x->0 1/n*(1+x)^1/n-1 / 1
= 1/n*(1)^1-n/n
Now 1 raised to any power gives 1.
Therefore
the answer will be 1/n
Here if we put x=0 then we'll get 0/0.
Which is an indeterminate form.
So we can apply La Hospitals rule.
Let's differentiate the numerator and denominator separately.
Lim x->0 1/n*(1+x)^1/n-1 / 1
= 1/n*(1)^1-n/n
Now 1 raised to any power gives 1.
Therefore
the answer will be 1/n
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