To determine the differentiability of a complex variable function, the partial derivatives of each component must be analyzed and then the continuity and the following equalities must be verified: f(x+jy)=u(x,y)+jv(x,y)→{∂u∂...
F(x) =⎧⎪⎨⎪⎩(sin(a+2)x+sinxx,x<0),(b,x=0),⎛⎜⎝(x+3x2)13−x13x43⎞⎟⎠,x>0⎞⎟⎠:} Function is continuous at x = 0, finda+2b. View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Clas...
<p>To define the value of a polynomial at a point, we can follow these steps:</p><p><strong>Step 1: Understanding the Definition</strong> A polynomial is a mathematical expression that can be written in the form of \( p(x) = an x^n + a{n-1} x^{n-1} + \ld
HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK If the function f(x) = {{:((x^(2)-(a+2)x + a)/(x-2),,x ne 2),(2,,x = 2... 01:09 The value of f(0) so that the function f(x) = (2x-sin^(-1)x)/(2x+tan^(... 03:14 How should we de...