Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.2 Partial Derivatives, #47 · Multivariable Calculus · Partial derivatives

(Limit of …) 1 Informal definition: the numbers … approach … when…

This problem is about limits in two dimensions.

(Limit of $f (x, y)$ ) 1 Informal definition: the numbers $f (x_{n}, y_{n})$ approach $L$ when the points $(x_{n}, y_{n})$ approach $(a, b)$ . 2 Epsilon-delta definition: For each $ε > 0$ there is a $δ > 0$ such that $∣ f (x, y) - L ∣$ is less than $______$ when the distance from $(x, y)$ to $(a, b)$ is $______$ . The value of $f$ _at_ $(a, b)$ is not involved.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.2 Partial Derivatives, #47

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(Limit of …) **1** Informal definition: the numbers … approach … when…

(Limit of …) 1 Informal definition: the numbers … approach … when…