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Examine the continuity of the function {f{{({x})}}}={2}{x}^{{2

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Examine the continuity of the function $f (x) = 2 x^{2} - 1$ at $x = 3$ .

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Examine the continuity of the function

f (x) = 2 x^{2} - 1

x = 3

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Practice questions from similar books

Question 1

f : N \to N

is given by

f (x) = {\frac{x + 1}{2} \frac{x}{2} if x is odd if x is even

and

g : N \to N i s g i v e n b y

g(x)=x-(-1)^x

, t h e n

f(g(x))\displaystyle{i}{s}{\left({a}\right)}{o}\ne{o}\ne{\quad\text{and}\quad}{o}{n}\to{\left({b}\right)}{m}{a}{y}{o}\ne{\quad\text{and}\quad}{o}{n}\to{\left({c}\right)}{o}\ne{o}\ne{\quad\text{and}\quad}\neg{o}{n}\to{\left({d}\right)}\ne{i}{t}{h}{e}{r}{o}\ne-{o}\ne{o}{n}\to

View solution

Question 2

Let

f : (- 1, 1) \to R

be defined as

f (x) = max (- ∣ x ∣, - 1 - x^{2})

, then number of points where it is non-differentiable are equal to (a) 1 (b) 2 (c) 3 (d) 4

View solution

Question 3

Find the value of

^{'} a^{'}

for which the function

f

defined as

f (x) = {a \frac{sin π}{2} (x + 1), \frac{tan x - sin x}{x ^{3}}, x \leq x > 0

is continuous at

x = 0

View solution

Question 4

g (x) = (lim)_{m \infty} \frac{x ^{m} f ( x ) + h ( x ) + 3}{2 x ^{m} + 4 x + 1}

when

x \neq = 1 a n d g (1) = e^{3}

such that

f (x), g (x) a n d h (x)

are continuous functions at

x = 1

then the value of

5 f (1) - 2 h (1)

7

6

9

8

View solution

Question Text

Examine the continuity of the function

f (x) = 2 x^{2} - 1

x = 3

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Examine the continuity of the function f(x)=2x2−1at x=3.

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Practice questions from similar books

Examine the continuity of the function $f (x) = 2 x^{2} - 1$ at $x = 3$ .