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kupik [55]
4 years ago
15

Will give brainliest!!

Mathematics
1 answer:
vivado [14]4 years ago
4 0

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

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