The Symbolic Math Toolbox program can also be used to calculate one-sided limits. For example, as x approaches 0 from the left or right, you can determine the limit of x/|x|, whose graph is depicted in the accompanying image. Limit(f) is equivalent to limit(f,x,0) in the default situation.
limit(f, a) employs the symvar default variable. limit(f) sets the limit to zero. As var approaches a, limit(f, var, a,'left') yields f's Left Side Limit. As var approaches a, limit(f, var, a,'right') yields f's Right Side Limit.
All symbolic scalar variables, functions, and arrays in the MATLAB workspace are listed in syms. example. All symbolic scalar variables, functions, and arrays are named in a cell array returned by S = syms.
The definite integral of expr from a to b is computed using F = int(expr, a, b). symvar determines the default integration variable for int ( expr,1 ). The default integration variable is x if expr is a constant.
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