(x² +y²). The function f(x,y)={ (x+y) (x, y) # (0,0) is ; (x,y)= 0 a. Continuous at (0,0) b. Not Continuous at (0,0) c. Limit does not exist at (0,0) d. Limit exist and equal to 1

Q: 1- f(x,y) = In(x² + y?) at (1,1)

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

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Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: