Use the definition of continuity and the properties of limits to show that the function is continuous at teh given number a.

f(x) = (x+2x^3)^4 , a = -1

Question

Use the definition of continuity and the properties of limits to show that the function is continuous at teh given number a.

f(x) = (x+2x^3)^4  , a = -1

anonymous · Answer

this one is much easier than the last one.  property of the limit basically in this case means replace x by -1 and justify each step

anonymous · Answer

$$\lim_{x\rightarrow -1}(x+2x^3)^4$$
$$=(\lim_{x\rightarrow -1}x+2\lim_{x\rightarrow -1}x^3)^4$$ etc

anonymous · Answer

use limit of power is power of limits, limit of sum is sum of limits and limit of product is product of limits

anonymous · Answer

so how do we show taht is is continuos