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Determine a Function F and a Number a Where the Given

Question 7

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Determine a function f and a number a where the given limit represents the derivative of f at a.(a) lim⁡h→0(3+h)2−5−2h\lim _ { h \rightarrow 0 } \frac { \sqrt { ( 3 + h ) ^ { 2 } - 5 } - 2 } { h } (b) lim⁡h→0(6+h)2−5(6+h)−11−55h\lim _ { h \rightarrow 0 } \frac { ( 6 + h ) ^ { 2 } - 5 ( 6 + h ) - 11 - 55 } { h } (c) lim⁡x→03ex−3x\lim _ { x \rightarrow 0 } \frac { 3 e ^ { x } - 3 } { x } (d) lim⁡h→−4x3+64x+4\lim _ { h \rightarrow - 4 } \frac { x ^ { 3 } + 64 } { x + 4 }

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