Newton Raphson Method

Q.

While finding the roots of $f\left(x\right)=x^2-4=0$ using Newton - Raphson method, initial value of (x, x₁ = 1). If the value obtained after first iteration is$x_2$.

Q. If $f:R-\left\{1\right\}\to R$ is defined by $f\left(x\right)=\frac{x^{1/3}}{x^{1/3}-1},$ then $f$ is

1. an onto but not a one-one function.
2. a bijective function.
3. a many-one and an into function.
4. a one-one but not an onto function

Q.

While finding the roots of $f\left(x\right)=x^2-4=0$ using Newton - Raphson method, initial value of (x, x₁ = 1). If the value obtained after first iteration is x₂, find [100. x₂], where [ ] is the greatest integer function.

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Q.

While finding the roots of $f\left(x\right)=x^2-4=0$ using Newton - Raphson method, initial value of (x, x₁ = 1). If the value obtained after first iteration is x₂, find [100. x₂], where [ ] is the greatest integer function.

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Q. If $(x-1)(x-2)(x+5)<0$, then

1. $x<-5,1<x<2$
2. $x>2,-5<x<1$
3. $x<-3,0<x<2$
4. $x<1,-5<x<2$

Q.

While finding the roots of $f\left(x\right)=x^2-4=0$ using Newton - Raphson method, initial value of (x, x₁ = 1). If the value obtained after first iteration is x₂, find [100. x₂], where [ ] is the greatest integer function.

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