Ƒ(x) that is infinitely differentiable can be written as below Here h would be a small value that can be positive or negative. We have to keep on repeating the above step till we get really close toĪlternate Explanation using Taylor’s Series: We know that slope of line from (x 1, f(x 1)) to (x 2, 0) is f'(x 1)) where f’ represents derivative of f.īy finding this point 'x2', we move closer towards the root. Calculate f(x 2), and draw a line tangent at x 2. The point where the tangent line crosses the x axis should be a better estimate of the root than x 1. The idea is to draw a line tangent to f(x) at point x 1. Calculate sum of all integers from 1 to N, excluding perfect power of 2.Maximum possible number with the given operation.Sum of all the numbers in the Nth parenthesis.Largest Even and Odd N-digit numbers of base B.Print all palindrome dates between the given years.Minimum absolute difference between N and any power of 2.Find all possible outcomes of a given expression.Number of operations such that size of the Array becomes 1.Program to check if N is a Centered Cubic Number.Compare two floating-point numbers given in Scientific Notations.Number of ways in which N can be represented as the sum of two positive integers.Count of squares that can be drawn without lifting the pencil.Check if any value of x can be made equal to k after some operations. Find if two given Quadratic equations have common roots or not.Sum of N terms in the expansion of Arcsin(x).Given a number n, count all multiples of 3 and/or 5 in set.Software Engineering Interview Questions.Top 10 System Design Interview Questions and Answers.Top 20 Puzzles Commonly Asked During SDE Interviews.Commonly Asked Data Structure Interview Questions.Top 10 algorithms in Interview Questions.Top 20 Dynamic Programming Interview Questions.Top 20 Hashing Technique based Interview Questions.Top 50 Dynamic Programming (DP) Problems.Top 20 Greedy Algorithms Interview Questions.Top 100 DSA Interview Questions Topic-wise.
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