Fractional Limit

Calculus Level 4

lim ⁡ x → 8 sin ⁡ { x − 10 } { 10 − x } \large \displaystyle \lim_{x \rightarrow 8} \dfrac{\sin\{x - 10\}}{\{10 - x\}}

Which are the following are true for the limit above?

Details :
{ . } \{ . \} denotes fractional part of x .
LHL and RHL means Left hand limit and Right hand limit respectively.

Neither LHL nor RHL exist None of these Both LHL and RHL exist and equal to -1 LHL exist but RHL goes to infinity RHL exist but LHL goes to infinity Both LHL and RHL exist and equal to 1

Akhil Bansal by Akhil Bansal , 22, India

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