Question

Will give brainliest!!

Answer 1

Answer:

continuous.

Step-by-step explanation:

Given function is $f(x)=5x^4-9x^3+x-7$.

and value of a = 7.

Now we need to find if the given function $f(x)=5x^4-9x^3+x-7$ is continuous or not.

By definition of continuity, we know that a function is continuous at a given point if both left and right hand limits are equal.

Left Hand Limit = LHL

$LHL=\lim_{x\rightarrow 7^-}f(x)=5(7)^4-9(7)^3+(7)-7=8918$

Right Hand Limit = RHL

$RHL=\lim_{x\rightarrow 7^+}f(x)=5(7)^4-9(7)^3+(7)-7=8918$

Since both limits are equal at a=7 so we can say that given function is continuous at a=7