2 years ago

Study the pattern and predict the nth term a) 2,5,10,17,....... b)0,1,4,9,.....

1 answer:

Rasek [7]2 years ago

8 0

A) nth term is n^2 + 1

b) nth term is (n - 1)^2

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tangare [24]

Answer:

There is a non-removable discontinuity at x = 3

Step-by-step explanation:

We are given that

$f(x)=\frac{x^2+9}{x-3}$

We have to find true statement about given function.

$\lim_{x\rightarrow 3}f(x)=\lim_{x\rightarrow 3}\frac{x^2+9}{x-3}$

= $\infty$

It is not removable discontinuity.

x-3=0

x=3

The function f(x) is not define at x=3. Therefore, the function f(x) is continuous for all real numbers except x=3.

Therefore, x=3 is non- removable discontinuity of function f(x).

Hence, option B is correct.

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