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if f(x) = {{:(x+2",",xle-1),(cx^(2)",",x...

if `f(x) = {{:(x+2",",xle-1),(cx^(2)",",xgt-1):},` then find c when `lim(xto-1)f(x)` exists.

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To find the value of \( c \) such that the limit \( \lim_{x \to -1} f(x) \) exists, we need to ensure that the left-hand limit and right-hand limit at \( x = -1 \) are equal. Given the function: \[ f(x) = \begin{cases} x + 2 & \text{if } x \leq -1 \\ cx^2 & \text{if } x > -1 ...
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