Let `fRtoR` be a function we say that f has property 1 if `underset(hto0)(lim)(f(h)-f(0))/

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JEE ADVANCE 2018 :Calculus : Let 𝒇:𝑹 be a function. We say that 𝒇 has PROPERTY 1 JEE ADVANCE 2018 :Calculus : Let 𝒇:𝑹 be a function. We say that 𝒇 has PROPERTY 1
#jeeadvanced 2019 #paper2 #pyq PROPERTY 1 if lim hβ†’0)β€Š(f(h)-f(0))/√(|h|) exists and is finite, and #jeeadvanced 2019 #paper2 #pyq PROPERTY 1 if lim hβ†’0)β€Š(f(h)-f(0))/√(|h|) exists and is finite, and
Let f : R-{0} β†’R be function such that f(x) – 6f(1/x) = (35/3x) - (5/2).If lim┬(xβ†’0)⁑((1/Ξ±x) + f(x)) Let f : R-{0} β†’R be function such that f(x) – 6f(1/x) = (35/3x) - (5/2).If lim┬(xβ†’0)⁑((1/Ξ±x) + f(x))
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Q) Let 𝑓:𝑅={0}→ℝ be a function such that 𝑓(π‘₯)=6𝑓(1/π‘₯)=35/3π‘₯βˆ’5/2, If the lim(π‘₯β†’0)β€Š(1/𝛼π‘₯+𝑓(π‘₯))=𝛽; Q) Let 𝑓:𝑅={0}→ℝ be a function such that 𝑓(π‘₯)=6𝑓(1/π‘₯)=35/3π‘₯βˆ’5/2, If the lim(π‘₯β†’0)β€Š(1/𝛼π‘₯+𝑓(π‘₯))=𝛽;
63. Prove that f is continuous at a if and only if (lim)(h→0)f(a+h)=f(a). 63. Prove that f is continuous at a if and only if (lim)(h→0)f(a+h)=f(a).