Question

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

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

Answer 1

can someone help me please!

Answer 2

The function will be continuous at \(a\) if
\[\lim_{x\to a}f(x)=f(a)\]
We have that
\[f(a)=f(-1)=\left(-1+2(-1)^3\right)^4=(-1-2)^4=81\]
If the limit is the same, the function is continuous.

Answer 3

:) thank you so much

Answer 4

yw