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GATE2007-28 [closed]

+1 vote

234 views

Consider the series $x_{n+1} = \frac{x_n}{2}+\frac{9}{8x_n},x_0 = 0.5$ obtained from the Newton-Raphson method. The series converges to

1.5
$\sqrt{2}$
1.6
1.4

closed with the note: Out of syllabus now

gate2007
numerical-methods
newton-raphson
normal
out-of-syllabus-now

asked Sep 22, 2014 in IS&Software Engineering by Kathleen Veteran (59.5k points)
closed Nov 6, 2016 by jothee | 234 views

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Answer:

Related questions

+2 votes

2 answers

1

GATE1996-2.5
Newton-Raphson iteration formula for finding $\sqrt[3]{c}$, where $c > 0$ is $x_{n+1}=\frac{2x_n^3 + \sqrt[3]{c}}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3 - \sqrt[3]{c}}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3 + c}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3 - c}{3x_n^2}$

asked Oct 9, 2014 in Numerical Methods by Kathleen Veteran (59.5k points) | 292 views

gate1996
numerical-methods
newton-raphson
normal
out-of-syllabus-now

+3 votes

2 answers

2

GATE1999-1.23
The Newton-Raphson method is to be used to find the root of the equation $f(x)=0$ where $x_o$ is the initial approximation and $f’$ is the derivative of $f$. The method converges always only if $f$ is a polynomial only if $f(x_o) <0$ none of the above

asked Sep 23, 2014 in Numerical Methods by Kathleen Veteran (59.5k points) | 274 views

gate1999
numerical-methods
newton-raphson
normal
out-of-syllabus-now

0 votes

0 answers

3

GATE2003-42
A piecewise linear function $f(x)$ is plotted using thick solid lines in the figure below (the plot is drawn to scale). If we use the Newton-Raphson method to find the roots of \(f(x)=0\) using \(x_0, x_1,\) and \(x_2\) respectively as initial guesses, the roots obtained ... 0.6 respectively 0.6, 0.6, and 1.3 respectively 1.3, 1.3, and 0.6 respectively 1.3, 0.6, and 1.3 respectively

asked Sep 17, 2014 in Numerical Methods by Kathleen Veteran (59.5k points) | 358 views

gate2003
numerical-methods
newton-raphson
normal
out-of-syllabus-now

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