Question

find the points of discontinuity of f
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Answer 1

Step-by-step explanation:

LHL:

$\lim _{x \rarr 1 ^{ - } }f(x) = \lim _{h \rarr 0 }f(1 - h) = \lim _{h\rarr 0 }((1 - h)^{10} - 1)$

$=1 - 1 = 0$

RHL:

$\lim _{x \rarr 1^{ + } }f(x) = \lim _{h \rarr 0 }f(1 + h) = \lim _{h \rarr 0 } {(1 + h)}^{2} = 1$

Since, RHL ≠ LHL,

So, f(x) is discontinuous at x = 1