# If limit of #f(x)=27# as #x->c#, what the limit of #(f(x))^(3/2)# as #x->c#?

Roots and powers are continuous (have limits that can be found by sucstitution).

Therefore

Bonus

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If the limit of f(x) is 27 as x approaches c, then the limit of (f(x))^(3/2) as x approaches c is (27)^(3/2), which simplifies to 729.

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